*Our* immigrants own the place now.
Original European settlers on the East Coast? English and some Scots-Irish, Dutch and Swedes. Later some Germans. French and Spanish west of the Mississippi. And of course, the enforced immigration of Africans, who were never intended to be part of the ruling classes.
And who are the people in charge? Some of all those groups, plus Italian, Japanese, Greek, Italian, Polish, Irish, Chinese, Jewish, Indian, Native, various Latin American nationalities, Ukrainian... It's the natural progression.
Europe will also absorb its immigrants, and its immigrants will adopt Europe.
The biggest impediment to immigrants becoming part of their new home is their isolation from its acculturating institutions by the ostracizing effect of segregated society.