GTX 570, 600w dual 12v rails question

I'm receiving a GTX 570, and I have a thermaltake TR2 600w psu with 2 12V rails (23A and 20A I think?). I'm using an fx 6300 in this build also with 1 hard drive. Would the GTX 570 work with my PSU?

yep

i use an fx 8320 overclocked with a radeon hd 7850 overclocked so you won't have problem

Indeed it will, running a 580 and an i3 with that exact PSU