I have the same behaviour. Most often the game becomes non-responsive, and sometimes I get the blue screen. It happens with jedi knight characters that have played a bit, and then after activation.
It does not happen immediately for Sith warriors. I can play Sith warriors for a long time, but then they also hang/crash.
Other character types never even start the first time.
Any way to diagnose?
I use Windows XP and VMWare Fusion 5.