This is very feasible without WW2, fascism isn't durable the way a communist regime is. Right-wing dictatorships, even one-party fascist states, rarely survive the death of their founder. Italian Fascism's lack of mass support and popular mobilization was readily apparent after the invasion of Sicily and the Grand Council's suspension of Mussolini. Franco's Spain died with him, and Pinochet stepped down after a referendum. Cuba's communist party is nowhere near being overthrown, and the same goes for the communist parties in China, Laos, and Vietnam.
Nazi Germany had a planned economy even more unwieldy than the USSRs, I doubt it would've survived a decade of peace. The Nazis stuck to the gold standard way longer than everyone else in order to re-arm. Foreign exchange was the area where industrialists and the Nazis clashed most often, rearmament threatened to crowd out exports and prevent a return to international trade after the post-depression recovery. Unless Ludwig Erhard becomes Fuhrer as a nazi Deng Xiaoping analogue, the regime doesn't last past the 70s at most.