Wow, those have to be the most misleading system requirements ever. 8600gt was a mid-range graphics card about 4-5 years ago and is pretty much obsolete now, and the GTX 680 is currently the best GPU on the market and goes for $500+. It's a pretty big jump haha.
I have a feeling that you want to be somewhere in between that. I can't picture it being playable on an 8600gt, and seriously doubt that you'll need a 6-core processor and the best graphics card on the market to run it well (maybe that's it you want 3000x2000 resolution or whatever and every setting turned all the way up).
As for me I probably won't play the game because I played the first one over 10 years ago and didn't care for it. Buy hey, maybe this one will be decent.
IF YOU WANT MORE BEATS FOR YOUR BUCK THERE'S NO LUCK.