kaspersky should work .... but i have never tried it , i use SEST Smart security4 on windows 7 from its milestone edition and i tnever crashed and also works very well no problems till now !
to be 100% safe you should use the products MS recommends at this time. There is a thread that lists all the programs people have been using that run fine on the OS.
Well i use Kaspersky 2009 with win7 7057 with no problem. Maybe it's having some kind of conflict with your other program.