Looks like iraqis want sovereignty as quickly as possible, much in the line of the UN.

Understandable. they'd recover their pride; it would save billions of dollars.
It would please the world (and certainly the US taxpayers).
Only 20 Billion $ is used for Iraq reconstruction, out of the 87 Billion $.
The rest is to secure the US troops.
For the moment, it's a catch 22 situation with US soldiers killed, prompting more money for defense (and less for econstruction as money is not unlimited) and also a longer stay, frustrating the US soldiers, the Iraqis and the rest of the world.
All in the name of pride v humiliation.

Raoul