Even the Neo-Nazis (assuming the reporting is correct and that’s a big IF) have bought the propaganda that they are “right-wing”. Bzzzzzzt. Wrong. The correct answer is that nazism is one of many cousins in the family of left-wing totalitarian monsters. The Leftists have constantly been splitting, merging, rearranging the chairs for over a hundred years.
Naziism is fascism, a form of socialism. Both are about total government control of the economy; they just use different methods and forms to achieve it.
Traditional socialism simply nationalizes or takes over the means of production. The fascist (Nazi) version of socialism is more subtle. it maintains the fiction of private property, while regulating every aspect of its use, thus completely controlling it, just as much as the traditional socialism does.
Our economy in America today is moving ever and ever closer to a fascist model.