The part you're missing is the rise of American fascism and its merger with Austrian economics in the wake of the New Deal. It was a reaction by the aristocracy to the Bolsheviks and what they perceived as the looming threat of communism. Mussolini, at the time, was seen not as a kind of warmonger but as proposing a "third way" (apart from communism and classical liberalism) for how to move societies forward in a way that was aligned with the interests of capital.
This strain of thought carried forward into groups like WACL, the John Birch Society, and the Council for National Policy, which has usurped the Republican Party and planed and execucted the January 6th insurrection.