No, we did not. To large extend, people don't even know what Nazi ideology and goals actually were except that they killed most Jews. But first here, you would have to show they were overall like Nazi.
> Adressing your first point, I really think that human (including children) sacrifice is quite unique and not present in the cultures you mentioned.
Soldiers working for colonial Britain would cut kids hands if parents did not worked fast enough. Columbus did cut peoples hands too, I think that including children hands if locals did not produced as much as he wanted. He also took kids as sexual slaves for his men. Cortes behavior was not normal either. Hunting witches and torturing old people assumed is not generally normal either.
American slavery routinely involved kids being sold away from parents before age of 10 .. and quite a lot of them died.
None of it is exactly same as human sacrifice, but not much better either.
"Columbus's forced labour system was described by his son Ferdinand: "In the Cibao, where the gold mines were, every person of fourteen years of age or upward was to pay a large hawk's bell of gold dust; all others were each to pay twenty-five pounds of cotton. Whenever an Indian delivered his tribute, he was to receive a brass or copper token which he must wear about his neck as proof that he had made his payment; any Indian found without such a token was to be punished." The monarchs, who suggested the tokens, called for a light punishment, but any Indian found without a copper token had their hands cut off, which was a likely death sentence.[118] Since there was no abundance of gold on the island, the natives had no chance of meeting Columbus' quota and thousands are reported to have committed suicide."
Adressing your first point, I really think that human (including children) sacrifice is quite unique and not present in the cultures you mentioned.