Nationalist. Nativist. The only American nativist/nationalist is the NATIVE AMERICAN INDIAN. The rest of them are immigrants/descendants thereof. Who is kidding whom here?

The words you are trying to match up together have different meanings.
1. Native American---member of an indigenous group of people in America.
2. Nationalist--a person who believes in Nationalism.
3. Nationalism---Self-determination of a society or a country, where they can decide what race or ethnicity they want in the country, as they are the majority. The nationalist want to be left alone to live only with white people. He doesn't want any government regulation of his business or any parts of his life.
4. Nativism---the policy of protecting the interests of native-born or established inhabitants as against immigrants.

Tell me something I don't already know.

Anthropologists believe even the "Native" cultures in the Americas were immigrants themselves, crossing the Bering Strait land bridge tens of thousands of years ago.

Correct. Everyone here in the USA is an immigrant.

So what's your point?

I am native to the land upon which I was born.  My descendants have nothing to do with that.  I am indeed a native American.

Not

If you don't have a Casino, you can't be a native America !

Thank you for your reply Marguerite and Happy Wednesday.