The terms "corporation" and "corporatism", as used by fascists, have absolutely nothing to do with the modern capitalist usage. Fascism has its roots in early 20th century national syndicalism, inspired by people like Georges Sorel and Charles Maurras. When fascist writers talk about "corporations" they are talking about labor organizations similar to syndicates or trade unions and not big businesses like those on Wall Street. Fascism is explicitly anti-capitalist as well as anti-communist.

The people who are restricting speech in the modern West are not "fascists." They are all liberals who probably believe the same things that you do (but I don't), like gender equality and LGBT rights.