That's a whole lot of dancing to go nowhere. Fascism is right wing, full stop. It takes major twists of history and logic to arrive at the conclusion that it's to the left. It's clear that you're eager to take those twists to get to your preferred conclusion. That doesn't earn any credit though.
what do you think far right actually means? don't use Nazi as the example, give an actual description of what it means. because on pretty much every item, the Nazis were way to the left of capitalism, not to its right. anarchy is actually far right. thats why capitalism/laissez faire was considered "right". same with individual rights are a foundation of the political "right", while collectivism was always a matter of the left.
-Government control of production? Yes. far more government control than the US has ever exhibited. not sure how any of that can be construed as "far right". oligarchs are possible under communism too, so that argument won't hold water as a distinction to make the Nazi's "far right"
-Individual rights? restricted across the board, favoritism shown to Germans over other Europeans as long as you were a party member. Jews and other ethnic groups, and other non-desirables lost all rights. Party meant more than nationality. Yes it was better to be a german rather than a Pole. but Polish Nazis were treated better than the average non-party German. that is leftist
-Corporation control over the government? none. some corporations got "favorable" contracts, as in "Do this for us and we won't put your CEO in jail, and we will give you slave labor". but there is little to nothing to show the corporations had any real influence over the major nazi party members who made all the decisions. that is left of capitalism
-socialized healthcare? expanded and formalized under the Nazis. that is left.
-Job/wage/retirement programs? Expanded and formalized under the Nazis. at least for the Germans. The autobahn, and other major civil works programs were implemented by the government, not private corporations. that is left.
-Privatization of some aspects of the economy? Technically yes, a step towards the right of what is was. but certainly not to the point of being "far right". again it was done by the party to favor germans over foreign companies or non-desirable land owners. but even this was part of the job programs that got rid of foreign workers to give germans jobs.
-Expansionist? Yes. expansionism for the direct purpose of funding more military expansion. this is one of those items that isn't the typical left vs right; but it is still counter to the American "right".
-Economy? Driven by the military, not civilian corporations. it was a command economy set up to fuel the military, not private oligarchs. even a lot of the civilian work was done to disguise the military build up. See the Volkswagen plant that made like 100 civilian vehicles, and several thousands of military vehicles. There were multiple "four year plans" where the government directly told corporations what they needed to do, and directly worked to make those goals a reality. that is left.
-Slavery? yes, that would definitely be considered right of capitalism, so point there.
-Society over individual rights? absolutely more left, Hitler spoke frequently and often about the importance of the Wehrmacht over individuals desires. that collectivism is certainly a matter of the left.
-Institutional control of various "soft" industries? absolutely went far left, the states control over schools expanded. hospitals. media. art. all expanded. even religion, or secular-non government programs got co-opted by the Nazis. that is left of the American "right".
-Government style? Was absolutely more authoritarian than America. there was pretty much no say the average citizen had in the matters of government. the party was the ruling body, not any of the facades of legislature they kept for various periods. centralized government was the rule. left
-Trade laws? HIGHLY restricted, nothing laissez faire about it. tariffs, price controls, export/imports limits and targets. left.
2 of those 13 items would the Nazis have been "right" of the US, the rest they would have been far far far to the left. I don't see any way to claim they were "far right" on the actual metrics of the political spectrum.