Of course the Iraqis have not enjoyed having an American Military Governor, but are they ready now for a U.S. pullout? Here's an alternative.
The most remarkable man I have read about in the Arab world is Sheikh Hamad, the Emir of Qatar. How about giving him temporary power with a later handoff date to an Iraqi parliament. There's not a lot of coverage about him on the Web, but consider the following.
His family has been an absolute monarchy for a century. In 1995, however, he deposed his father in a family-supported takeover to become the new young Emir.