The Irish, Italians, the Polish, Jews, Russians, and other Europeans have, over the centuries and decades, completed this journey from the periphery of whiteness to being fully considered white.
If American history is any guide, a good number of Hispanics and Latinos (as well as Pacific Islanders and other East Asians) will likely complete some version of that journey from honorary to full whiteness as well.
White Americans will not be a "minority" in America. They will still be the single largest group.