Check out the Sony line.
I have both a Sony A55 and A65. Both use the translucent mirror technology which allows focus during video shooting. The A65 can shoot up to 1080p 60 frames per second. One big advantage of using a DSLR is the range of interchangeable lenses available.
Many professional shooters use DSLRs for videos these days. Check out Sony A65 or A77 review videos online.
For me having a single camera that can shoot 24Mp quality stills and awesome video is a big plus.