So that I am fully understood, this is not a racial issue. This is a cultural assimilation issue. Those are two very different things. Only in the United States would it be possible to create a "brown" class of citizens. I don't think it matters a bit if we have a majority minority country in a couple of decades.
Most of the immigrants coming into this country are from the Hispanic /Catholic Southern Hemisphere. Some of the more recent emigres from places like Venezuela are going to be harder to assimilate, but that is because of the economic system from which they are emerging. It is one thing to come here for opportunity which has described most Mexicans and Cubans (Mariel excluded) rather than to be better taken care of by government which seems to be a legacy of those fleeing failed socialist states. But even they, and particularly their children, will assimilate.
The vast majority of these people, regardless of actual racial heritage, view themselves as representing an original European heritage and culture.
I am quite confident that Asian, Hispanic, and whatever constitutes "white' America will maintain a vibrant homogenous Western Culture that can carry on the traditions of Athens, Rome, and the capitalist economic system. I did not automatically include black America because it has stubbornly resisted assimilation since the Civil War. Indeed, I would argue those cultural differences are greater now than they were in 1963 when Martin Luther King gave his "I have a dream speech."
Thanks to BLM and a healthy dose of latent white guilt, that 14% of the population has wielded a disproportionate amount of attention over the last few years. But there too, those barriers were breaking down rather quickly before it became popular to once again be obsessed with race. I expect that to continue unless misguided efforts like reparations continue to have traction.
Islamic culture, for all the reasons I have listed above is a very different assimilation challenge. It has nothing to do with race and everything to do with the challenges Muslims face in trying to embrace Western culture.