I am going to reconfigure your build and save you at least $100...a budget of $600 can build you a solid gaming PC and you don't even need a 750W PSU
First of all, why are you getting a laptop hard drive? Are you planning to dump it into the PS4 after you are done or something?
If not, get this hard drive - $54
http://www.goharddrive.com/White-Label-1TB-32MB-Cache-7200RPM-SATA-Hard-Drive-p/g01-0096.htm
I would recommend 1866 memory instead of just 1600 - $79
http://www.newegg.com/Product/Product.aspx?Item=N82E16820231527
get this motherboard instead and make sure you enter the promo code - $65
http://www.newegg.com/Product/Product.aspx?Item=N82E16813128659
I don't like your case and if you are not 100% sold on it, get this instead because it has solid cable management and comes with 3 fans preinstalled - $60
http://www.newegg.com/Product/Product.aspx?Item=N82E16811147060
that PSU you put on there is out of stock at the store they are linking you, so get this one - $100
http://www.newegg.com/Product/Product.aspx?Item=N82E16817182073
The DVD Drive is whatever
That total so far is $373 so that leaves a little over $200 for a CPU and then a dedicated graphics card...I am starting to think an AM3+ build will be better for you @ $600. We might be able to clock down that Power Supply to 650W to save some money there so you can get a cheap AMD Quad Core and maybe squeeze a 2GB 7850 in there. Will save money on an AM3+ motherboard as well...I recommend AMD APU for cheaper builds than yours..$600 is starting to head into gamer/performance territory breh.
TBH, I don't think an aftermarket cooler is needed for your needs, but if that's what you want...that is a solid choice. I would save the $30 if I were you. If you DO decide to save the $30 then it might be worth to dump the APU architecture and go with a cheap AMD Quad and a lower end dedicated video card. The choice is yours