re: This is probably a dumb question, but why is Neo-Nazism considered right wing?

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Well if Vox says it...

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Here's what Vox said

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In Hitler’s version of National Socialism, socialism was “Aryan” and focused on the “commonwealth” of everyday Germans — a group of people he unites as one based entirely on their race. In that same interview with Viereck, Hitler added:

“Socialism is the science of dealing with the common wealth. Communism is not Socialism. Marxism is not Socialism. The Marxians have stolen the term and confused its meaning. I shall take Socialism away from the Socialists.

Socialism, unlike Marxism, does not repudiate private property. Unlike Marxism, it involves no negation of personality, and unlike Marxism, it is patriotic... We are not internationalists. Our socialism is national. We demand the fulfillment of the just claims of the productive classes by the state on the basis of race solidarity. To us state and race are one.”

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That's fairly cut-and-dry. Hitler was a socialist, both by definition and by his own account. The Nazi's were a socialist party.