The US sent the Dominican Republic an ambassador who is gay and in a same-sex marriage.

Around 20 years ago the US sent a black ambassador to South Africa, which was surely intended as rebuke to racism. I don't know whether this choice was meant as a rebuke to bigotry; it might be he was promoted due to merit and given the next available country.

In either case, now that religious bigots are demanding that the US accede to their bigotry, it must not do so. Bigotry is not the sort of "local custom" that deserves respect.