you wont be able to pay that much stuff with this build, but it wont be terrible. in the future, throw in a 6670 to set up hybrid crossfire. this allows the gpu on the chip and the gpu itself to work together
My personal philosophy with any expensive purchase is to get the most bang for your buck. In the realm of computers, that is not in the price segment you listed. You would get a lot more out of your system in terms of gamin performance by waiting and saving up another ~$200, or more. Not saying that a build at this point won't run games, but it will certainly not run them well. If you can up some more in a reasonable amount of time, I highly recommend doing so.