Ever wonder why George H. Bush didn't complete the Iraq invasion after throwing Iraq troops out of Kuwait? The world certainly was on "our" side in that military action, much more than during GWB's Iraq war.
I tend to believe that GHB knew the ultimate conclusion of throwing out Hussein would be what we have today, the Muslim radicals from elsewhere in the region taking over the country. I think he knew the devil we knew was much more preferable to the unintended consequence of Muslim takeover of Iraq. Too bad GWB never understood that, but of course Rumsfield wanted to "complete" the war GHB didn't, so he got his puppet and did what he wanted.