I'm using 3.3.0.Beta1b (for QE testing) which I downloaded from http://download.jboss.org/jbosstools/builds/development/3.3.0.Beta1b.core/2012-02-24_23-15-15-H93. When I'm using "mvn -DskipTests package jboss-as:deploy", then my project is deployed into JBossAS 7.1 as expected.

However, when I drag'n'drop the project onto the JBoss server entry, then the deployed war in %JBOSS_HOME%\standalone\deployments contains these artifacts which may not be included:
(1) resources that are excluded in pom.xml are regardless copied from src/main/resources into WEB-INF/classes
(2) test classes are copied from target/test-classes into WEB-INF/classes
(3) test resources are copied from src/test/resources (or target/test-classes?) into WEB-INF/classes

Topic (2) is a blocker, because it is resulting in stack traces like these when the test classes are using DbUnit and JUnit:
12:17:57,644 INFO [org.jboss.weld.ClassLoading] (MSC service thread 1-8) catching: org.jboss.weld.resources.spi.ResourceLoadingException: Error loading class de.shop.test.util.DbService
at org.jboss.weld.resources.ClassTransformer.loadClass(ClassTransformer.java:152) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.BeanDeployer.addClass(BeanDeployer.java:86) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.BeanDeployer.addClasses(BeanDeployer.java:115) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.BeanDeployment.createBeans(BeanDeployment.java:171) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.WeldBootstrap.deployBeans(WeldBootstrap.java:336) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.as.weld.WeldContainer.start(WeldContainer.java:82) [jboss-as-weld-7.1.0.Final.jar:7.1.0.Final]
at org.jboss.as.weld.services.WeldService.start(WeldService.java:76) [jboss-as-weld-7.1.0.Final.jar:7.1.0.Final]
at org.jboss.msc.service.ServiceControllerImpl$StartTask.startService(ServiceControllerImpl.java:1811)
at org.jboss.msc.service.ServiceControllerImpl$StartTask.run(ServiceControllerImpl.java:1746)
at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1110) [rt.jar:1.7.0_03]
at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:603) [rt.jar:1.7.0_03]
at java.lang.Thread.run(Thread.java:722) [rt.jar:1.7.0_03]
Caused by: java.lang.NoClassDefFoundError: org/dbunit/database/IDatabaseConnection
at java.lang.Class.getDeclaredFields0(Native Method) [rt.jar:1.7.0_03]
at java.lang.Class.privateGetDeclaredFields(Class.java:2308) [rt.jar:1.7.0_03]
at java.lang.Class.getDeclaredFields(Class.java:1760) [rt.jar:1.7.0_03]
at org.jboss.weld.util.reflection.SecureReflections$4.work(SecureReflections.java:102) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflections$4.work(SecureReflections.java:99) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflectionAccess.run(SecureReflectionAccess.java:52) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflectionAccess.runAndWrap(SecureReflectionAccess.java:63) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflections.getDeclaredFields(SecureReflections.java:99) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.introspector.jlr.WeldClassImpl.<init>(WeldClassImpl.java:153) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.introspector.jlr.WeldClassImpl.of(WeldClassImpl.java:118) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.resources.ClassTransformer$TransformTypeToWeldClass.apply(ClassTransformer.java:49) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.resources.ClassTransformer$TransformTypeToWeldClass.apply(ClassTransformer.java:40) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingValueReference.compute(ComputingConcurrentHashMap.java:355) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingSegment.compute(ComputingConcurrentHashMap.java:184) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingSegment.getOrCompute(ComputingConcurrentHashMap.java:153) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap.getOrCompute(ComputingConcurrentHashMap.java:69) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingMapAdapter.get(ComputingConcurrentHashMap.java:393) [guava-10.0.1.jar:]
at org.jboss.weld.resources.ClassTransformer.loadClass(ClassTransformer.java:149) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
... 11 more
Caused by: java.lang.ClassNotFoundException: org.dbunit.database.IDatabaseConnection from [Module "deployment.shop.war:main" from Service Module Loader]
at org.jboss.modules.ModuleClassLoader.findClass(ModuleClassLoader.java:190)
at org.jboss.modules.ConcurrentClassLoader.performLoadClassUnchecked(ConcurrentClassLoader.java:468)
at org.jboss.modules.ConcurrentClassLoader.performLoadClassChecked(ConcurrentClassLoader.java:456)
at org.jboss.modules.ConcurrentClassLoader.performLoadClass(ConcurrentClassLoader.java:398)
at org.jboss.modules.ConcurrentClassLoader.loadClass(ConcurrentClassLoader.java:120)
... 29 more

12:17:57,660 INFO [org.jboss.weld.ClassLoading] (MSC service thread 1-8) catching: org.jboss.weld.resources.spi.ResourceLoadingException: Error loading class de.shop.test.service.BestellverwaltungTest
at org.jboss.weld.resources.ClassTransformer.loadClass(ClassTransformer.java:152) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.BeanDeployer.addClass(BeanDeployer.java:86) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.BeanDeployer.addClasses(BeanDeployer.java:115) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.BeanDeployment.createBeans(BeanDeployment.java:171) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.bootstrap.WeldBootstrap.deployBeans(WeldBootstrap.java:336) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.as.weld.WeldContainer.start(WeldContainer.java:82) [jboss-as-weld-7.1.0.Final.jar:7.1.0.Final]
at org.jboss.as.weld.services.WeldService.start(WeldService.java:76) [jboss-as-weld-7.1.0.Final.jar:7.1.0.Final]
at org.jboss.msc.service.ServiceControllerImpl$StartTask.startService(ServiceControllerImpl.java:1811)
at org.jboss.msc.service.ServiceControllerImpl$StartTask.run(ServiceControllerImpl.java:1746)
at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1110) [rt.jar:1.7.0_03]
at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:603) [rt.jar:1.7.0_03]
at java.lang.Thread.run(Thread.java:722) [rt.jar:1.7.0_03]
Caused by: org.jboss.weld.resources.spi.ResourceLoadingException: Error loading class de.shop.test.util.AbstractTest
at org.jboss.weld.resources.ClassTransformer.loadClass(ClassTransformer.java:152) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.introspector.jlr.WeldClassImpl.<init>(WeldClassImpl.java:139) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.introspector.jlr.WeldClassImpl.of(WeldClassImpl.java:118) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.resources.ClassTransformer$TransformTypeToWeldClass.apply(ClassTransformer.java:49) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.resources.ClassTransformer$TransformTypeToWeldClass.apply(ClassTransformer.java:40) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingValueReference.compute(ComputingConcurrentHashMap.java:355) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingSegment.compute(ComputingConcurrentHashMap.java:184) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingSegment.getOrCompute(ComputingConcurrentHashMap.java:153) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap.getOrCompute(ComputingConcurrentHashMap.java:69) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingMapAdapter.get(ComputingConcurrentHashMap.java:393) [guava-10.0.1.jar:]
at org.jboss.weld.resources.ClassTransformer.loadClass(ClassTransformer.java:149) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
... 11 more
Caused by: java.lang.NoClassDefFoundError: Lorg/junit/rules/ExpectedException;
at java.lang.Class.getDeclaredFields0(Native Method) [rt.jar:1.7.0_03]
at java.lang.Class.privateGetDeclaredFields(Class.java:2308) [rt.jar:1.7.0_03]
at java.lang.Class.getDeclaredFields(Class.java:1760) [rt.jar:1.7.0_03]
at org.jboss.weld.util.reflection.SecureReflections$4.work(SecureReflections.java:102) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflections$4.work(SecureReflections.java:99) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflectionAccess.run(SecureReflectionAccess.java:52) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflectionAccess.runAndWrap(SecureReflectionAccess.java:63) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.util.reflection.SecureReflections.getDeclaredFields(SecureReflections.java:99) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.introspector.jlr.WeldClassImpl.<init>(WeldClassImpl.java:153) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.introspector.jlr.WeldClassImpl.of(WeldClassImpl.java:118) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.resources.ClassTransformer$TransformTypeToWeldClass.apply(ClassTransformer.java:49) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at org.jboss.weld.resources.ClassTransformer$TransformTypeToWeldClass.apply(ClassTransformer.java:40) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingValueReference.compute(ComputingConcurrentHashMap.java:355) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingSegment.compute(ComputingConcurrentHashMap.java:184) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingSegment.getOrCompute(ComputingConcurrentHashMap.java:153) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap.getOrCompute(ComputingConcurrentHashMap.java:69) [guava-10.0.1.jar:]
at com.google.common.collect.ComputingConcurrentHashMap$ComputingMapAdapter.get(ComputingConcurrentHashMap.java:393) [guava-10.0.1.jar:]
at org.jboss.weld.resources.ClassTransformer.loadClass(ClassTransformer.java:149) [weld-core-1.1.5.AS71.Final.jar:2012-02-10 15:31]
... 21 more
Caused by: java.lang.ClassNotFoundException: org.junit.rules.ExpectedException from [Module "deployment.shop.war:main" from Service Module Loader]
at org.jboss.modules.ModuleClassLoader.findClass(ModuleClassLoader.java:190)
at org.jboss.modules.ConcurrentClassLoader.performLoadClassUnchecked(ConcurrentClassLoader.java:468)
at org.jboss.modules.ConcurrentClassLoader.performLoadClassChecked(ConcurrentClassLoader.java:456)
at org.jboss.modules.ConcurrentClassLoader.performLoadClass(ConcurrentClassLoader.java:398)
at org.jboss.modules.ConcurrentClassLoader.loadClass(ConcurrentClassLoader.java:120)
... 39 more