I have an idea....why don't you go ahead and buy them both, hook them up.....and come back crying when you ruin both parts.
If you were driving on the highway at 70mph with tires rated for 45mph, how safe would you feel?
TDP is the design limit. No its not running there all the time, but lets say you play a game that stresses your computer out to oh... 65%... The best cooling in the world will not help you at that point. Will it work? Oh yes! It will work... now the million dollar question... how long?
Since you are basically getting a supremely clocked CPU, I'd suggest really spending on a super solid board the likes of an ASUS Sabertooth, Extreme 8, Gigabyte UD-5~7 and the like. There's no way you should buy a mobo like the extreme 3 for that proc.
My advice is for you to invest in a solid board and an 8350. Pocket the money for a cooler/gpu and enjoy learning the ins and outs of your computer.