It's attacking women of US, not all women. So I guess technically it's nationalism/fascism or something like that?

It's attacking women everywhere. The women he likes are the ones in countries where the women are forced to endure that misogyny, and who would come to the US to escape those countries.

He may find that they're less compliant once they come here.

According to Hofstede's cultural dimensions, of all the countries listed US has highest masculinity. Does feminism equals misogyny in your mind?

https://www.hofstede-insights.com/product/compare-countries/