Currently adopted algorithm is as follows:
1) Try Mozilla.
2) If it fails then try default browser.
3) If both fail then work without browser.

If Mozilla is available, it is selected. However, Xulrunner does not support jQuery Mobile 1.3, and then wizards for new widgets cannot be represented in preview (e.g. Range Slider, Panel, Table).
We also have to take into account, that for specific widgets some browsers may have specific bugs. As a result it may be that each wizard may have its own best and worst browser. A general solution is to let each wizard override the default algorithm.

Test results:

Browser	Issues
Windows 8, Webkit (Safari)	Range Slider - sometimes mouse click on slider makes circuits stack together, sometimes playing with Slider could cause "EXCEPTION_ACCESS_VIOLATION (0xc0000005) at pc=0x585d9357, pid=6108, tid=2684" Radio - Collapsible -
Windows 8, Internet Explorer	Dialog - after some clicks on close button it starts looking like this: Radio - Collapsible - Popup - if you click on button then click on popup window - sometimes eclipse window goes to background