Hamilton was also some form of a crypto. His mother was previously in a relationship to a man called Levine and likely converted. After their relationship fell apart and she moved elsewhere in the Caribbean, Hamilton was born and went to a jewish school. There's more to it but it's easy to look up now.
In a broader context, I have many criticisms for him.
Also, Hamilton was a filthy banker and he is part of the reason why we are currently ruled by bankers.