Some grassroots Iraqi endorsement of it in this Times story. Here:

“If the Americans keep doing it, they can make a difference,” said Ali Muhammad, 37, an ice cream shop owner who lives in Ur. “But they have to stay. Otherwise it will never work.”

And here:

At the border of Shaab and Ur, American troops encountered a warmer reception. Some residents in both areas seemed hopeful. Mustafa Jasim, 27, a Sunni, said that the idea of bases in the neighborhood convinced him that the Americans would not leave immediately. “With them here, now I can feel safe,” he said.