With the exception of the small group of racists and alt right nutjobs, I'm not seeing it. I see complaints against illegal migration, but that's not the same thing. We should not conflate the two.
I don't think anybody really thinks that, only a few pockets of ignorant right-wingers and left-wingers. USA is all about the brain drain against other countries and that's the way it should be for a successful nation. Immigration has been more successful with the USA than probably any other nation. Illegal immigration on the other hand does cause issues with schools, jobs, taxes, hospitals etc and for those with a vested stake in the area, they should be pissed about that.