FOX did a poll on this question a few weeks ago, and it was 63% said we had to stay - and 30% number said we should bring the troops home.
Since Bush's approval has gone up to 45% - Rasmussen just blew their credibility. And .. when FOX did their poll, Bush's number were lower. This doesn't make sense.
As I said before it is how the question is asked.
This question basically asks are you willing to allow more US troops to die to build an Iraqi democracy. And, most people will say no. If they asked are you willing to keep troops there to fight terrorists the results would have been very different.