The UN would prefer we bow to the oil interests of fellow veto-weilding nations which also happened to start the "no blood for oil" chant.
I could have told you before we went in that Saddam's Utopia was a sham that was falling apart, Soviet-style. Maybe I did. I told everyone I could, but the media gloss of Saddam's regime was too bright. It even interfered with the sight of the current administration.
However, regardless of how you feel about the cost of nation building right now, it is NOTHING compared to the cost of patrolling the no-fly zones, protecting the Kurds playing the game of pretending Saddam was complying with the terms of the Gulf War cease fire for 12 years. That is an enormous amount of money in manpower, equipment, dues and aid money. The Gulf War is FINALLY over.
For the reasons above as well as others, I also prefer we use an American company. Help from our alleged allies would still be nice, but I doubt they have the cajones to provide it. They talk about caring, but don't really care.