So Wait a Minute

So I'm thinkin' there's another reason why this strike on Bin Laden's compound could only have happened under the Obama Administration.
It goes like this:

Donald Rumsfeld was in a constant fight with the State Department. Because of this he mistrusted the CIA and arguably allowed Bin Laden to escape at Tora Bora early in the war because although the CIA was on the ground in Afghanistan in what, 12 hours(?), from the 9/11 attack, Rumsfeld wanted the DOD to be running things and refused to let CIA (read: State Department) leadership over "his" armed forces.
And who went in on the successful raid against bin Laden? Navy SEALS led by... you guessed it... the CIA.
Hmm...