Why do you think it took 10 years for the Nazis to go to power? Between '23 and '33 one thing happened: 1929. And yes: it happened in New York.
Trying to generate some level of John Nash type synchronicity going from an invalid inference of similarity between wealth inequality in two separate periods of history to ww2 to impeding doom is absurd. Even more foolish to assert the great depression was so simply explained by inequality. That's obviously not the case.
I don't think it's far fetched to assert that the US and Germany in the 20s were extremely connected, financially speaking. How much this impacted the subsequent events can be debated.
But believing in no impact at all is just intellectually dishonest. It's a plain fact that '29 and investment dry-up in Europe caused incredible hardship on Germans (and their voting preferences in the '33 elections).