Downsize the case to a HAF 922 or 932. Get a i5-3570k or 2500k CPU. Get 1600mhz RAM, no need for higher than that. That is SO overkill on the PSU. Get a TX650 V2 and you'll be set. For cooling, that is a great cooler, also get out the CM 212 EVO and 812 TPC for cheaper options.
You probably don't need the sound card unless you have very expensive speakers.
Instead of the SanDisk get a Crucial M4 128gb, much better SSD.
Keep in mind TV's are very bad as Monitors, they'll work, but text may be blurry, and it may not look as good it can.
With all these changes, you can probably get a AMD 7870 or 7950. I recommend Sapphire.
I would still choose a 7850 over a gtx 570. Performance is similar (570 performs marginally better) but consumes significantly less power and produces significantly less heat. That is not to say that the gtx 570 is a bad card. Its just my preference. If you do want to stick with the 570, that is a good price.