Based on what I saw in the trailer in 2007 as well as the updated one, I would way anything built within the last couple years could run it on at least minimum settings.
I currently run Mass Effect 2 somewhere between 50-100 FPS. I can't really remember. I'll have to check when I get home. If I can run that, which was made in 2010 and on a newer engine than Unreal 2-2.5, then I should be good.
I was planning on upgrading to a Sandy Bridge 6 or 8 core next year for FSX as well as other stuff I do, and if that won't run DNF, I don't know what will.