Well Cheney and Rumsfield are gone so there's a chance that Bush does stay out of Iraq. I think Cheney and Rumsfield were very influential in Bush's choice to go into Iraq.
Considering that they helped publish a paper that stated the US should intervene in Iraq in September of 2000 and that the official record have Rumsfeld saying on 9/11 that they needed to find a way to blame it on Saddam, I would say they were more than biased towards invading Iraq.
Torqumada