What If the Iraqis Were Asked to Vote on a Continued US Presence in Their Country?

What would they say? Those intriguing thoughts are raised by this post. The guy who wrote it has a particular axe to grind. I don't; I'm not advocating anything in the way of policy here.
But, given that Iraq has held several successful elections, it isn't entirely implausible to believe that they could hold a successful nationwide poll or referendum on a continuing US presence there.
If the Iraqis voted that we should stay, what impact would that have on US public opinion or US policy?
And what if they wanted us to go?
I obviously don't know how the Iraqi people feel or how we might respond to a vote on this matter. But as we weigh future US policy in Iraq, it would be interesting to know what the Iraqis think.