Demonstrations in Muslim majority lands against secular leaders who are widely seen as puppets of the West rarely have a happy outcome from the modern, western, pluralist democratic point of view - no matter how enthusiastically the ever-optimistic liberals have taken part in them. No trouble, they can always be 'eliminated' afterwards. Iran, where demonstrations began a whole year before the final overthrow, should be a textbook case.
A survey which should give liberals pause for thought before cheering demonstrations on, was conducted by the Pew Research Centre's Global Attitudes Project as recently as December 2010 (PDF here), which found that:
"At least three-quarters of Muslims in Egypt and Pakistan say they would favor making each of the following the law in their countries: stoning people who commit adultery, whippings and cutting off of hands for crimes like theft and robbery and the death penalty for those who leave the Muslim religion. Majorities of Muslims in Jordan and Nigeria also favor these ... punishments."