I am also going with the i5-3570 because it is better than its similarly priced AMD counterparts in terms of speed and features.
Intel graphics cards are terrible but its hard to argue they don't do amazing processors. I would never buy an AMD CPU ever, they always feel like they are trailing second best. In saying that, I do like ATI/AMD graphics cards very much, great value and competitive performance to their similarly priced Nvidia counterparts.
AMD CPU's are good bang for your buck when you're willing to settle with adequate instead of "OGM GOTTA B THE BEST!!!", I spent about £140 total on my CPU and GPU, one being a Phenom II x4 965 BE and the other being a ATI HD 6770, I run Battlefield 3 on high at 40-50 FPS on the largest maps no problem, I spent next to nothing and got way better performance out of it than I was expecting.
Intel is for the enthusiast, the man who wants the biggest and best so he can never have a single slower moment, the man who can afford to splurge on every aspect of his rig, the man who wants to be able to say "Yeah, I render 300k polygons in 10 minutes and I play all the latest games on ultra, what of it?".
Basically, the guy who spends too much money for pointless performance that can't even be used properly.
Besides, intel likes to change their sockets constantly, at least with AMD I'll be good for the next series of processors with AM3+