Everyone has a right to be wrong, including Muslims. As long as that stays out of politics, they can believe whatever stupid things they want. Nothing about supporting the human rights of Muslim immigrants is contradictory of supporting women or the LGBTQ+. That's not to say that the way some countries have handled immigration has been smart. Letting them group together and section off their own lawless lands was not the smart way to handle it. But the way to fix that is not by electing some right-wing bigot who wants to turn the country into a Christian theocratic dictatorship.
All Republicans are Dominionists? Really? There are people who fit that description, and they could have the ear of whoever is in power. Beware advisors ... the power behind the throne. I like immigration as a general principle, but everything in moderation. And it is never smart to do things in a stupid manner.