Hitler was pro-abortion (for non-"Aryans), pro gun control, and believed schools should be strictly controlled by the state. He supported smoking bans and speech codes. He had a goal to destroy Christianity. He supported euthanasia. He inisisted the private sector should be strictly regulated by the state.
I'd say he was a lefty.
even held friendly relations with the Church
Sure, just as our own Democratic Party does -- just so long as the church doesn't make waves and serves a useful purpose.
And he supported a strong military, which he used to attack the only existing socialist state: the Soviet Union.
And he arrested, tortured, and executed Socialists and Communists...