Jaerome Doolittle argues that w is osama’s sock puppet:

Giving Osama bin Laden an instrument like George W.Bush to play is like handing Jascha Heifetz a Stradivarius.
Bin Laden has got from Bush virtually everything he wanted: U.S. troops are out of Saudi Arabia, his enemy Saddam is dead, the Al Qaeda franchise has gone international, his hideout in Pakistan is safer than ever, the Taliban is resurgent, the Great Satan is globally hated and isolated, and Bush has done, praise be to Allah, effectively nothing to end the conflict between Israel and her Arab neighbors. Sweet!

Perhaps.
The way things have played out bush has gotten from osama virtually everything that he wanted: a huge popularity hit in his first term, a mission accomplished photo op, a 2nd term in office, billions in oil profit windfalls for his cronies around the world, the war on terror, the shredding of the bill of rights and so on ad infinitum.
It is not at all clear who is pulling the strings.

Perhaps they are each others sock puppet and, if so, perhaps they are partners.