I just picked up a new 5D3 earlier today and did a very quick comparison of the video. This was just a test for myself so feel free to pick apart my methodology as much as you like but I really don't care

Both camera's were mounted to the same head and filmed simultaneously. I happen to have two 45mm T/S lens and shot at f8 @1/50 and 160iso. All other camera settings such as contrast, sharpening and saturation were matched between both cameras.
I recorded in ALL-I on the 5D3 (noticed an improved speed when transcoding the file in FCPX).
For the high iso comparison I used 2,500iso which is the very upper limit of what I had ever used on the 5D2 but as you can see by the 100% screen shots the 5D3 is definitely cleaner. The other big improvement was with Moire. I didn't see much of a difference with rolling shutter but then again my example in the video isn't exactly real world.
My thanks to the "Chairman" for posing.
Here's the link -
Cheers, Derryck.