Democracy is a great slogan for Westerners who approach it from their own blinkered perspective and assume that it means the same thing to the people using it thousands of miles away as it does to them. To Americans, democracy is the unexamined assumption that popular power goes hand in hand with freedom. To Muslims it's the equally unexamined assumption that democracy is the national will to unite a country by purging it of all its divisive elements.
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Treating popular democracy as a means of enforcing Islamic norms may seem progressive to the same sort of people who lecture enthusiastically on Mohammed's enlightened treatment of women, but it's really just a way for the Islamists to displace the dictators who may be brutal bastards, but aren't particularly interested in enforcing veiling or flogging men who don't grow beards.
It may make a small degree of difference to us how the population of a place thousands of miles away chooses to be oppressed, but for the minor fact that their Islamist rulers hate us quite a bit more and their hatred has global ambitions.
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The problem with Muslim democracy is at the heart of all the fallacious assumptions that said it could be fixed through a change of government. The problem did not originate with governments. And that means it will not go away with a change of government. A change of government is fine for removing a Saddam or a Khaddafi, just so long as it's not done on the assumption that what will follow will be a happy place full of frolicking bunnies and the Bill of Rights in Arabic.