See this Associated Press map for a picture of where "minorities" are now in the majority. I find several things interesting about the map, at least some of which have nothing to do with minorities. First, the fact that counties are tiny east of the Rockies and large west of the Rockies. What is that about?
Second, it is certainly no accident that most of the "minority majority" counties are in the southern U.S. The Old South makes up the eastern part of this belt, except southern Florida, and the Southwest makes up the western part. The minorities in the former are heavily African-American and the latter are largely Mexican immigrant. Southern Florida has many immigrants from the Caribbean area: Cuba, Haiti, etc. The few counties you see shaded in the upper Mountain states and Midwest are counties with Indian reservations.
One has to wonder the extent to which this map reflects past "white flight" and the degree to which it will become a guide to future migration? My guess: "substantially" is the answer to both questions.