hasbreo, your information is simply incorrect.
although technically the 650 may be able to run the game, the frame rates at 1080p on high/ultra as you outlined, are simply not good. Unplayable.
For 1080p at high/ultra your looking at a 7850 bare minimum, which would wipe the floor with the 650 OC.
With your CPU a good match would be a 660ti or 7870. That swould be a nicely balanced system. Keep in mind your always gonna have a bottleneck with one thing or another, whether cpu bound or gpu bound. Future proofing is a myth ( or at least in any real sense - there's always something better just around the corner). I would recommend losing the 650 and upgrading to something like Ive mentioned or above. Your cpu is a decent one.