Many of the conservative Baptists among whom I grew up believe that dancing is a sin. I have never heard any of them suggest that weddings are invalid if there is dancing at the reception. Nor did any of them argue that professional dancers ought to be relegated to second-class citizenship — forbidden to marry, to adopt children, to serve openly in the military. They didn’t argue such things because it wouldn’t have made sense.
The leap from “dancing is a sin” to “dancers are subhuman and should not have rights” is illogical and it’s bad theology by their own standards. The belief in a religious prohibition against homosexuality can be exploited by demagogues to produce and nurture bigotry among those who are prone to bigotry, but that religious prohibition is not, in itself, the cause or the source of that bigotry.