Indeed!
And here is the link to the benchmark which explains how performance drops on a 2Gb GTX680 card when the VRAM is overfilled:
http://www.hardwareluxx.de/index.php....html?start=16
Using the game SKYRIM they increased MSAA & SGSSAA in order to fill the VRAM (they could have just easily fired up CoD and flown over London...

)
2560x1600 res & 4xSGSSAA 1918 MB VRAM
2560x1600 res & 8xMSAA & 2xSGSSAA 3100 MB VRAM
2560x1600 res & 8xMSAA & 4xSGSSAA 3127 MB VRAM
2560x1600 res & 8xMSAA & 8xSGSSAA N/A MB VRAM
The drop in fps of the 2Gb GTX680 is impressive!
Keep in mind though that the same effect you will probably achieve with a GTX580 3Gb!
So your real issue is how to get a card with more Gb VRAM than the 1,5Gb you have now.
For sure the GTX680 is more performant than the GTX580 but how much is the price difference you only can decide.
I still stay on my recommendation that you try to trade in your currect GTX580 for a GTX580 3Gb as the best value for money.
~S~
PS. I still think that the GTX680 is not the real card for CoD because of the "lousy" memory interface of 256bit...