The fork in the Republican party is between the race nationalists and the evangelicals, not between decency and indecency.
Are the race nationalists and the evangelicals different?
Ohhh, yes. The thing is, their coalition is strung together with silly putty. They agree on the race thing, obviously, but that's about it. The former want a technocratic state led from the big cities by corporate nitwits like Peter Thiel and Elon Musk. Several of their luminaries are openly gay billionaires, or adulterers working through their fourth wife, who pretend to be moderate, "classic liberals" on a regular basis. None of which is okay with Evangelicals.
The latter want a overtly anti-secular theocracy led by someone who reminds them of their local pastor. In politics, they pursue the "seven hills" of the so-called culture wars and long for a country of yeoman farmers who hate data centers and read the Bible on Sundays as they imagine their great-grandparents all did. None of which is actually okay with a "race realist" libertarian who just wants the government out of their hair so they can claim the privileges they think they were promised.
These are contradictory goals, and they fight like dogs all the time. It's a huge part of the reason why the TACO thing happens. It's not that Trump is worried about losing the support of Democrats, it's that he knows his own faction starts eating itself alive whenever one of its leadership has a public scandal and thus appears weak enough that getting them replaced seems plausible.