"I do not underestimate the ability of fanatical groups of terrorists to kill and destroy, but they do not threaten the life of the nation. Whether we would survive Hitler hung in the balance, but there is no doubt that we shall survive al-Qa'ida." -- Lord Hoffmann
You sound like a Soviet saying that "the East Germans don't want freedom" while the Iron Curtain still stood. But we saw that when the Soviet Union crumbled along with the Berlin Wall, that the people loved freedom when given the chance to exercise it.
That is why Iraq is settling down now to normalcy and why are they voting and choosing their own futures in democratically free elections.
"An error does not become truth by reason of multiplied propagation, nor does truth become error because nobody sees it." - Gandhi
I would bet my life that in the next decade another dictator will emerge from the ruins of the US/UK invasion into Iraq. Its own History supports this.
Who is prevented from doing what? Has it ever occured to you that perhaps some Muslims do not WANT democracy?