DO THEY REALLY BELIEVE IT

Do they really believe what they are saying?  Sadly, yes.  The American Left is easily indoctrinated, believes propaganda, and quickly succumbs to any form of intimidation. The reason the American Left is so easily persuaded is because they believe in conformity and refuse to stand alone. We see this in the way they talk, they dress, and the way they respond to events.  
The cries that the removal of any form of censorship on Twitter is dangerous to freedom is a ridiculous argument. Censorship is a necessary tool by any aspiring tyrant to gain control of a society. Censorship is restricting a free flow of ideas. When something is restricted it is less free.
When the Globalists, and the easily persuaded conformists, all sing the same tune that censorship on Twitter must be retained to protect the freedom of women and minorities, they are making an argument of contradiction. This is normal for any who seek to limit the freedoms of the masses and impose their viewpoints on all. This is of course tyranny.
It was restricting freedoms, such as speech and thought, that drove the American colonists to revolt. Living in a censorship free society is an American hallmark. And now an individual from South Africa is proclaiming an American ideal should be restored, and those who would want us to believe that they are Americans, rise up in opposition.
It is the Marxist transformation movement that has brought conformity and compliance to American society. This has been engineered by the uses of indoctrination, propaganda, and intimidation, those same tools used by tyrants, especially collectivist tyrants. When censorship is eliminated, people hear all ideas and the collectivist movement knows that when freedom is freely advocated, the forces of tyranny will fail.
Censorship is always an ally of tyranny. This is why our 1st Amendment states that freedom of speech should not be abridged. That is American.