This Brit articles says that the kings of the "pro-american" governments in the mideast dread the idea of a US pullout, because it will destabilize their own governments, and give power to the wahabists and islam brotherhood and other theo-state radical groups.
"In this grim picture, the Americans appear the least sure and most confused. With unattainable objectives, wobbly plans, changing tactics, shifting alliances and ever-increasing casualties, it is not clear any longer what they want or how they are going to achieve it. By setting themselves up to be manipulated, they give credence to an old Arab saying: the magic has taken over the magician."
"The so-called axis of moderate Arab states - comprising Saudi Arabia, Egypt and Jordan - dreads an early US withdrawal. First, because it would be widely interpreted as an American defeat, which would weaken these pro-American regimes while both energising and radicalising their populations.
Second, if the US leaves, the emergence of a Shia regime in Iraq - in itself an offensive prospect to them - would only be a matter of time. Facing Arab antipathy, this regime would be likely to look eastward and forge close ties with its Iranian co-religionists. In the view of most Arabs, this would present a formidable challenge, setting in motion a series of dangerous events - an Iranian-Iraqi alliance; political and material support from Arab countries being offered to disgruntled Iraqi Sunni groups; retaliation by Iraqi forces; and the threat of broader regional involvement.
Third, a US departure risks triggering Iraq's partition. As some Arabs see it, the occupation is what holds the country together. So long as coalition forces are deployed, a full-blown breakup can be avoided."