In 1920x1080 it will do 50+ fps.
If you don't do any cpu intensive tasks like video encoding then i5-3570k is enough for gaming. 16GB of memory is an overkill for gaming. 8GB is more than enough.
This gives you $140 to spend on:
Better graphics card - GTX680 or almost 660ti in SLI (50 bucks short)
or better monitor, maybe 27" and 120Hz.
Last two things, change that power supply for a quality product like corsair tx750.
Both Enermax cooler and EVGA 670 are loud components. For video card try gigabyte windforce or MSI twinfrozr.
The PSU is of quality no need to change it just get the 750W model it comes with a seven year warranty and is 80 PLUS Silver it's built by Sirtec very highly reviewed power supplies and are easily recommendable.It is also on sale right now. I have used the psu in many builds and never one issue i'd also add my brother in law is using the same psu with two 680's in sli no problems at all.