Firstly, forget crop factor when you're talking about video. The 60D, being an APS-C camera is just about the same size as 35mm motion picture cameras are; and will have a similar depth of field as shooting a movie. That's good.
It's funny, as I've shot both 60D and GH2. I bought a GH2, but only because you could hack it (easy to do btw) and I have a lot of nikon glass. I love that I can put whatever lenses I want on the GH2 with cheap(er) adapters. Not Canon glass mind you, but a Nikon E-Series 50mm F1.8 is something like $50, in great condition. I like the older lenses anyway on vDSLRs. I normally used Leica type R primes on the 60D
Ok, let's talk video quality, from my stand point. The GH2 is generally better in properly exposed settings. However, due to it's smaller sensor it's not as good in low light as the canons are. I see much more detail on a GH2 and tend to get better results more easily with it than I have gotten on the 60D. That said, the 60D isn't 1/2 bad either. My biggest concern on the Canons is banding, which isn't as bad on my GH-- which by the by has flowmotion 2.02 on it, if memory serves.
Stills glass is really a dog to work with or video work-- and I strongly dislike the canon lenses-- this is mostly personal preference.
From a build standpoint, the 60D is much more solidly built and you can attach battery grips to it, more easily than with a GH2. The gh2, however is substantially lighter and smaller, for fitting into small areas. Of course, since it's a vDSLR, you'll quickly start building a rig around it, so overall the sizes are just about the same. The GH2 feels more plasticy; however, it hasn't given me grief yet. the 60D never gave me greif. The biggest build quality issue on the GH is the lack of material on the bottom of the camera for friction. So when it's mounted on a tripod plate with a heavy-ish lens on it, can torque the body and start to unscrew it. I solved this with some glue and a little bit of rubber.
Dynamic range on the both is about comparable.
Aliasing and macroblockingThe GH2, in my experience has had less aliasing and macroblocking than i've seen on the canons-- the images, properly exposed, looked cleaner, and the noise on the camera isn't as video-ey as I see on the canons.
The GH2 is meh for stills. If you want to do stills professionally, you should be looking at a Full Frame camera. however, if you're doing stills just for fun/hobbylike, I see no real reason why either camera would matter as much. Granted, I haven't shot many stills on either.
Codec; I much prefer the AVCHD of the GH2 to the h.264 mov of the canon. I can use FCP log and transferr to the footage and then edit in real time just that which I want-- like a normal camera-- as opposed to the Canons, where going into FCP would first necessitate converting to ProRes-- normally as a batch. With the GH2, I can mark ins and outs for editorial. Again, I don't edit much; but when I have those low budget quick shoots, this is great.
Colors, I like the Panasonic colors, personally; but in truth for video you'll be using some form of a flat profile (cinestyle on the canon, or smooth-- slightly tweaked-- on the GH2) so color correction will come later on.
Lenses can be a slight more of a pain in the ass on the GH2 because it's a smaller sensor. This means, essentially, that your widest lenses for full frame are only medium lenses for the GH2. This can be very limiting, and is the biggest issue I have. I live on a 24mm on my GH2 which is something akin to a 35mm on the 60D. Again not horrible; but there are few really good wide and affordable lenses out there. the Tonika 11~16 will be a good friend, generally.
However, the fact that you can use basically any lens in existience, so long as it covers the sensor, on the GH2 made it really attractive to me, and is partially why I went with it. the actual M4rds lenses are ok; some of them are really fantastic; but they are almost all too sharp for my own liking. The Rokinon Cine-lenses, I think would be a good bet on both cameras, for budget optics, primarily because, well you have a mostly full set which can go right onto a follow focus. I don't know how well matched they are, but again, it'll be better than the situation you can run into when you're going between say a Tonkia, and a Nikon, and a Sigma or what have you .
Both of these, i you're looking for video, will very quickly fade away, I think, when the Black magic Pocket Camera comes out which is also $1000 but records right to Pro Res at substantially higher data rates than both of those cameras, with a build in Film-Log mode, and still to SD Cards. It too has an odd sensor size, S16mm, but that is in many ways easier to deal with than the M4rds sensor on the GH2, and should really be on your radar.
Hope that helps.