Most want the US to stay:

While the American public and policy debate revolves largely around exit strategies and “redeployment,” there is apparent consensus among European policy analysts that American troops should remain in Iraq for the foreseeable future. In contrast to both European media opinion and the prevailing views of American liberals, our respondents supported sustained troop levels. Many consider the announcement of a timetable for withdrawal to be counter-productive and even outright dangerous, saying that lack of American involvement would drive Iraq into further chaos.

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