Thompson's Iraq Strategy

On This Week, yesterday, Tommy Thompson said he would have a different Iraq strategy.  As The Hill notes:

 He described a “completely different Iraq strategy” that included polling the Iraqi government to see whether it wants U.S. troops in the country.

“Nobody has ever asked that government, duly elected, to vote,” he noted. “And if they vote that they want the United States in their country, it immediately gives a degree of legitimacy.”

Thompson makes an interesting point.  Some might even say it's common sense.  Any thoughts?