At 1920x1080 you'll have to lower the settings with your setup. Should be able to hold up decently with a mixture of ultra, and high. Maybe will a little tuning down of the AA and MSAA.
Hell, my rig runs the game maxed @ 1080p flawlessly, but then again my processor seems to be superior to most AMD processors. And my video card is far superior... yeah... nevermind my rig should be running at max.