Id say you'd be fine, i dont know for sure tho.
Also use this site to get an idea of how well ur pc will perform with a game.
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Also, Welcome to NGU (even though you joined in Feb 2011 hahah, dw i didnt post either for like 2 years, mainly cos i signed up once and then never used the site for a while)

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These charts shows FPS data for your GPU. 2GB is enough as long as you stick to 1 monitor but if you're going to use multiple for gaming I'd get more than 2GB. Now on the card itself you should probably get a 670 or above if you want to run the game on ultra in a 64 player match. It'll run it but it will dip sometimes. I got 2x 6870 running and I can get 90ish FPS then BAM it drops to 30ish but then goes back up.
I personally have 16GB of RAM at 1600MHz, I don't come close to using it all. They say 8GB is the good zone but at the current juncture you are at, you can always get more RAM if you need it but a GPU is a whole different card.

I got nearly the same specs as you but different graphics card (i got 580 direct cu2) I run ultra smoothly on 60-100 fps depends on map. you should be able to run it too smoothly