Everything is indeed compatible. I would like to make a suggestion. Your power supply is way to big. The higher end systems only draw about 500w. I would recommend getting a 500w power supply and using the money you save to buy a better video card. if you save about 60$ with your power supply you should be able to get a 7870 which is a more powerful card and will be much better for games.
i suppose having a high watt psu could be a good thing if you plan on upgrading to sli or crossfire, and the 670 isnt the gpu i would choose its a little over priced for what you get, although things cost alot more in the uk so it might not be the case.