Long term, I could see Hispanics and a lot of Asians assimilating into mainstream white society and becoming more Republican. In the short and medium term , the GOP is in a lot of trouble. If they abandon the white nationalism and being the stupid party, they lose the deplorables. If they drop the evangelism, they lose the evangelical base. They will totally collapse with the base if they moderate.
The religious aspects of Republican ideology and rhetoric didn't really hurt the party with Hispanics and Asians until they became wedded to nativist appeals. The easiest thing for the Republican Party to moderate on at this point in terms of maintaining its electoral base would probably be the obsession with deficit-financed tax cuts and selling off the commons. Unfortunately, that's the part of the Republican platform that the donor caste (i.e., in the Republican worldview, the only morally autonomous human beings with intellect and will) actually cares about.