“The Muslim Brotherhood would never have gotten as far as it did if the Egyptian majority were against them.”
Even a relatively small band of zealots, who are willing to do violence to any opponents, can dominate a nation — especially when the “majority” is fractious, or passive.
In this case, the majority is most certainly neither passive nor fractious. Even the liberal media has been forced to take note of the MB’s penchant for being well-organized.