This argument has been waged for decades. We're not going to resolve it here, now, just by invoking it yet again. Please just observe the HN guidelines, particularly these ones:

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Let's please not fall, for the trillionth time, into the trap of "Nazis were socialists, it's in their name!".

The nazis had income tax rates virtually identical to most modern European countries, which was not at all common globally at the time.

Also they had wealth exit taxes just like modern Socialists in Europe are fighting for right now: https://en.wikipedia.org/wiki/Reich_Flight_Tax

I've now listed about 10 different major similarities, but if you'd like I can go on with more similarities.

Modern socialists in Europe are also starting to turn against immigration and toward ethnic nationalism as well.

This is a fundamental dark truth about socialism; it leads to anti-immigrant backlash. When the collective is paying for a lot of social welfare, they tend to get upset when people they perceive as 'other' come in and start to enjoy the fruits of the collective pie.

You can 1:1 map the increasingly closed immigration policy in the US with the rise of the social welfare state starting in the 1930s.

You appear to be lost in some bizarre correlation/causation maze, so I'll save you the effort, and not waste my time.

If you think there's a hard definition of socialism that Hitler clearly falls outside of, I'm pretty sure you're wrong. They blamed rich people for all the ills of society (Jewish people for them); they believed in the state running the economy through "corporatism"; they believed in a disarmed population that relies on the state for planning and protection; and they were willing to sacrifice millions of their populace to get there. It sounds a lot like most incarnations of socialism.

I'd say: don't fall the trap that Nazis were somehow conservative though.