I didn't even see the SSD part he wrote at the bottom...lol. In that case, I would also agree on the Phenom build. It would give you an overall snappy-ness to your system that you just can't get without an SSD.
I personally own a 965 Black and I also own a OC'ed GTX560, so my kit is fairly similar to yours. The performance is extremely respectable and It can pretty much tackle any gaming application I can throw at it.
That SSD will give you a really good performance upgrade that you might not notice as much if you just got the i5.
Yeah go for the Phenom kit. The SSD will make things very snappy, and GPU wise the 570 is about the same performance as the 480 as they are basically the same core, yet the 570 uses alot less juice and runs far cooler. The i5 would be quicker but the Phenom is more than enough and won't be anywhere close to bottlenecking the GPU
personally I have a x4 965 and a gtx460 build and my new build in in my tag. The 965 is a nice professor but my i5 runs at 4.6 gh 24/7 and doesn't get much hotter than 22 c, the AMD processor is hot angry and can cause instability when overclocked without an expensive motherboard due to vrm issues.
if you can wait another week or so skip the 480 its hot and old tech. Buy a newer model card. You will be much happier.
also gen 3 motherboards run sandy or ivy with bios update. Get an i3 sandy a 7870 and a 60-64 g SSD boot and your gonna be one happy camper. Then in a few minutes you can drop a phat ivy i5 or i7 and it game for a while.
AMD phenoms are now old tech with bad instruction sets.
don't get me wrong if there wasn't sandy and ivy bridge doing so great I'd be all over my old AMD fanism mabey in a few years if AMD ditches bulldozer and possibly a whole new architecture forms I'll be back on the green team.