Adobe does have support for the D600 but they do not have camera profiles like standard, landscape etc and they call it a beta version, so things may change while they are optimizing their RAW engine.
I would check the features on the D800. The main advantages to me for the D800 over the D600 would be a more pro level camera body with higher Megapixels. The D800 would be great for landscape or detailed product pictures. Likely most users would not see any differences in image quality between these cameras despite minor differences quoted by DXO. I think it would be hard to really tell a difference in IQ between a well excuted shot performed with the D7000 and the D800 at most viewing sizes (under a 20x30 inch print). It was hard for me to justify the added expense of the D800 knowing I would have larger files to deal with and a slightly larger body to lug around. For the pro's out there there may be some features like a dedicated back button focus they can't live without etc. (I use the AE/AF lock for this purpose and the Fn button for AE lock) I think of the D600 as an enthusiast camera not a pro camera. It seems to look almost identical to the D7000. For me I would not want to carry around a big D3 although I don't think the D800 is nearly that large.
Good luck and I'm sure you will be more than satisified with whichever camera you choose. If you can go to a local dealer and get a feel for each.
"Cameras and lenses are simply tools to place our unique vision on film. Concentrate on equipment and you'll take technically good photographs. Concentrate on seeing the light's magic colors and your images will stir the soul." Jack Dykinga