Opposition to gay rights and support of sodomy laws, in the belief that homosexuality is a violation of Christian doctrine and should be criminalized 

 Being gay by definition involves sex.  Unless of course you are celibate which would then make you asexual not homosexual.  And the word homosexuality by root is sexuality.  The Christian Right does support the criminalization of sexuality for homosexuals.  I suppose you could clarify that distinction, but there is no fallacy in the current sentence.