Your argument doesn't hold water. You state roughly that the Nazis are leftist because all totalitarians are leftist. And as Nazis are totalitarians they must be leftist.
You mix terms: you draw an opposite between 'totalitarian' and 'liberal', and you equate them to 'left' and 'right'. That doesn't work: the traditional 'left' versus 'right' divide is about those who believe in 'class equality' and those that believe in 'private property'. Both have totalitarian as well as liberal factions. Where the left have communists that are as totalitarian as it gets, the right have fascists and authoritarian factions that drive towards a totalitarian state. The US "democrat and republican party" being one example of such an authoritarian right wing faction.
The NAZI party was the NATIONAL Socialist GERMAN Workers PARTY. So per your argument, that's as right wing as it gets. All the NATIONAL parties of the history have been right wing. Left wing parties are typically INTERNATIONAL (their war-song is even called the "Internationale"), as their ideology is about class, not about nation.
So the name of the Nazis both appeal to extreme left wing, as well as extreme right wing. This is not a coincidence.
The rest of the AC's argument is as stupid and ill-informed.
You knew the job was dangerous when you took it, Fred. -- Superchicken