Fascism is a form of radical authoritarian nationalism, characterized by dictatorial power, forcible suppression of opposition and control of industry and commerce, which came to prominence in early 20th-century Europe.
Sounds less like Conservatism and more like hard left Corbynista Momentum to me.
Yes, I always thought of the political spectrum as a horshoe with the two extremes quite close together. The Nazis considered themselves as national socialists.