Brian, I call them Nazis mainly because the politically correct fascists are all about thought control. They use fear and intimidation in order to achieve that thought control, namely by means of veiled accusations of improper behavior (ask Gardner about that one). If that doesn't work then they have other means, such as boycotts, rumor mongering and the like.
At the end of the day, like the original Nazis, I suspect a politically correct fascist would have no problem removing their ideological opponents by any means necessary. And yes, that includes sending them off somewhere to be reeducated if needs must.
We've seen examples of this sort of behavior on the Left wing of the spectrum, notably in Stalin's Russia and Mao's China. While the US has not run to that extreme yet, there are those who do make life difficult in fields such as academics and yes, science fiction, for those who do not mouth the correct platitudes.
And I know what the German Nazis were, Brian. They promised a lot with platitudes. They had a vision which did not tolerate any other point of view and they liked to find a scapegoat upon which they could fix most of their problems upon.
PC Nazis do essentially the same thing. They alienate potential allies with blanket accusations of improper behavior (I think the "Unpacking the Knapsack" nonsense concerning White Privilege is probably the best example of that) and they work to create a perpetual environment of guilt among their chosen target.
And because I express that opinion, I automatically fall under the "racist-sexist-homophobe" category. I am not any of those things in my opinion but that doesn't matter because in this new era of political correctness, one is guilty until proven innocent and the crime is in the eye of the beholder.
Not what our country is supposed to be about, Brian.
So I deliberately chose to call them Nazis. I'm fully aware of the historical context of my word choice and I make no apologies for it.
S. F. Murphy