That's the myth isn't it. When you look into their ideologies it is clear that fascism is just another version of socialism. It always has been. Instead of the government taking over businesses and farms and throwing business owners and farmers out and replacing them with "experts", fascists allow business owners and farmers to stay where they are. They no longer own their business and farms, the government owns it and they don't have complete control over their business and farms, the government does. That is the ONLY difference between socialism and fascism.
It was enough of a difference that Stalin called Mussolini a right-winger. Stalin meant that as an insult and not a classification of his political ideology.
What happened when WWII started and we went to war with Nazis and fascist the American Progressives (who up until that point praised Hitler and Mussolini as "men of the future", as well as Stalin) dropped those ideologies like a hot potato. They had control of the media and education so they pushed those ideologies to the far right.
They had to hope that no one ever asked what N.A.Z.I meant. It is an acronym that when translated from German means the "National Socialist Germans Worker Party". Nazis are socialists. If socialism is on the far left than Nazis are right there with them.
But that is what academia still teaches today. It is so very entrench in our learning that people just don't think about it. I was taught that fascism and Nazis are right wing also.
Fortunately, people much smarter than me wrote books and explained the history of the American Progressive movement. And how all socialist based authoritarian governments as well as monarchies are and have always been on the left.
So what is on the extreme right? No government at all. And I don't care if it is right or left, it is just commonly accepted that total government control is on the left. But what is not taught that the other end of the spectrum has to be the exact opposite and the exact opposite of total government control over the people is no government at all.
The political scale taught in our schools leave no room for freedom in the middle. That why that scale is a joke. It's absurd.
The American right has never ever supported fascism or Nazism, not even a little bit. The left did because a century ago they thought all of those variations of socialism were great.