You said above that the U.N. doesn't have a definition of "indigenous" peoples.  The U.N. in any case does not have any jurisdiction over Hawaii.  And, once again the vast majority have the same language, culture, and political system as everyone else here.
It is ironic that to the itemized test of what you say above constitutes what an "indigenous" group is fits exactly the Western European in the U.S. and Hawaii.  Language, Culture, Societal, Governmental etc. It appears that your definition fits them perfectly.  So, it appears the most "indigenous" folks here are the Westerners.