It does, ok so this was a build question? If you're just looking to run Bf3, ignore Hexit tomshardware itself has benchs up showing amd does fine if not better than intel on bf3.
Don't get the 560 either it's not worth the money. I'd either go amd, and go for the 7950, or gtx 670; otherwise grab an almost new gtx 580 off e-bay (most ar eunder warranty), pay with pay-pal so everything is protected.
A 580 will run on ultra 1080p forsure.
I also wouldn't go with a z68 mobo unless you do A LOT of vid encoding. Grab a p otherwise, a hyper 212 and oc away.
You can do the same with amd however for 1/2 the price but almost same perf.
edit - o yea, here's the article.
http://www.tomshardware.com/reviews/battlefield-3-graphics-performance,3063-13.html
Also a gtx 480 would be more than enough too, just make sure you don't need a lot of quiet, and have an alright psu.
If you're doing a new build on air, grab a silverstone raven btw. I like raven 3 cuz it's 130 at Directcanada, has dust filters, etc. (I have 2 they run fine).
It orients the mobo and stuff vertically so that there's no 'dead zones' and this is even more evident with dual gpus (I ran 7900gs sli for a while on an earlier one). The temp. dif. between the dif. cards becomes almost 0 compared to 10-20 plus on horizontal layout cases.
Really helps oc cards,