Hitler was clearly in the middle of the left. The left consisted of National socialists and International socialists.
At the end of WWII, the National Socialists had lost and the International Socialists had won.
The mass killings exposed in the Holocaust were exposed and put the National Socialists into disfavor.
The mass killings done by the International Socialists were kept hidden in Russia behind the Iron Curtain.
The idea that Hitler was on the right was concocted by the International Socialists after the war to provide a false choice between National Socialism and International Socialism.
Notice they did not leave any choice for limited government.