Though, to be sure: What do you not like about the GH2's IQ? The lens coupled with the camera should be sharper than the 60D's 18-200 IS and it's able to produce stunning pictures, but maybe not with the standard JPEG settings (as sharpening, contrast etc.).
And as far as I know Id prefer the GH2 over a common DSLR all time, one of the reasons being to film trough the viewfinder.
The GH2 is actually a great camera, and if I had plenty of money, I'd probably keep both of them. Obviously the GH2 was engineered with video in mind, while the 60D hasn't, but the 60D has better picture quality for photos, and for video it may not have the crispness of the GH2, but the quality overall is more cinematic. The GH2 looks good, but it has a PQ that is half-way between a DSLR and a camcorder. I really dislike the way it handles greens, like grass or leaves.
Added to that, it is much easier to blur the background with the 60D than with the GH2, with the kit lens, and there's no M43 lenses as cheap as the Canon 50mm/f1.8 that sells for $120. Something comparable for the GH2 starts at three times that price, and other lenses are very expensive as well. Meaning that to achieve the same blurred background I can easily get with a $120 lens on the 60D would cost me much more on the GH2.
The other thing is the ergonomics. I just love the way the 60D feels in my hands. It's heavy but not too much, and it was really comfortable to hold and operate. The zoom in that 18-200mm kit lens is much smoother than the kit lens on the GH2. And that is kind of the problem I have as well in deciding to get the 60D now or wait for the Rebel T4i, because the Rebels are smaller. Not a big deal, the other reasons are more important, but since I sent back the 60D I've been missing it a lot.
Oh, also the buffer is much larger (or efficient, I don't know for sure) on the 60D. The burst mode in that camera kept shooting for as long as I pressed the shutter, as long as I was using jpegs, which looked really good anyway. This was on different cards, from class 10 down to 4. Even in RAW mode, it didn't go on forever, but it gave me several photos. The GH2 gets clogged up really fast even in JPEG mode with the class 10 card.