Brian:

In 1917 Russia was having a relatively peaceful revolt against the Czar. The Germans then sent in Exiled Lenin by train into Russia..He then organized his Communist allies and took control of the Democratic Revolution by force. Although his Communists had very little popular support they butchered anyone in their way and took power and turned Russia into a brutal dictatorship

1979 Iran the Islamic Mullahs turned a Democratic revolution against the Shah into a bloody revolt and turned Iran into an Islamic theocracy angering most citizens who felt they had their democracy stolen from them..

History is full of peaceful revolts hijacked..What counts and who wins will be the people willing to murder civilians and execute opposition. So as far as Egypt,,The Brotherhood may not have majority support but if they're willing to slaughter all opposition to gain power ( they have a history of this) then they will carry the day.