Hitler squashed the left wing of the NSDAP, aligned himself with and was put in power by a coalition of German conservative parties, outlawed the KPD and put socialists, liberals and communists in concentration camps, and sent death squads around the Soviet Union exterminating KPSS members with the ferocity they did the Jews, all just to trick us into thinking that Nazism is a "right wing" ideology.
The wars and civil wars that ripped across Europe in the early-middle part of the century between socialists/communists/anarchists and nationalists/fascists were all just brilliant charades to make us all think that these ideologies were not diametrically opposed.
They had foresight, you have to give them that.
Not being ideologically capitalist doesn't make you left wing, it just makes you not ideologically capitalist. Capitalism is one way of thinking out of dozens, at least.
The NSDAP wasn't even completely hostile toward capitalism, working closely with American industrialists up until the breakdown of relations with the US going into the 40s...
There's nothing wrong with pointing out the failures of both Nazi Germany and the USSR as well as any feudal monarchy or whatever, drawing parallels and what, but let's not pretend that any society that isn't strictly Laissez-Faire is 'left wing'