Fascism and the will of the majority often go hand in hand. Mussolini's Italy and Hitler's Germany are the best examples. The fascists may not rise to power on majority support but the majority come to embrace and support them once they have seized or consolidated power.
Now it's the Egyptian people who have embraced facism. Leon Weiseltier sums it up in just a few lines in The New Republic:
For weeks now people have been puzzling over the liberals of Egypt and
their enthusiasm for a violent coup. Perhaps the confusion was semantic.
It is time to stop calling these people liberals. A military dictator
supported by the masses in the streets: there is another name for such a
phenomenon, which is not unfamiliar in the annals of modern politics.
Its name is fascism.
They have met the possibility of one dictatorship with the reality of
another dictatorship. The Egyptian revolution now seems to have been a
contest between two forms of authoritarianism: a religious kind,
sectarian, intolerant, and incompetent, which was brought to power in a
democratic election, and a secular kind, bent on the persecution of a
minority in the name of the majority, which was brought to power by the
gun. It is a delusion to think that these strongmen will now give up
power. They equate democracy with Muslim Brotherhood rule. Moreover,
they are creatures of power, not creatures of justice, and they have
returned Egypt to the system of power that characterized it for three
decades. Their counter-revolution is a restoration.