The fact that I get half the gaming performance you will get for a fourth of the price is fairly disturbing.
DON'T GET CORE 2 EXTREME! YOU'RE WASTING YOUR MONEY IF ALL YOU DO IS GAMES!
Anyway, a fast Core 2 Quad, RAID0 gaming hard drives, 4GB DDR3, a tri-sli motherboard, 2x GTX 280 video cards to start off, 1200W PSU, RAID1 storage drives, and Vista 64 Ultimate. That's your $4000 gaming monster for you.
I'm absolutely serious; get two (or three, if you are REALLY crazy) GTX 280 cards. With this budget you really don't need to worry about value; only performance.
Pull this off right and your rig will be able to flat max-out Crysis at a solid 40fps. Not that I actually recommend that game, of course.