"Social Stigma" is against the law in many categories and situations. I'm not sure how much you want people to hate Christians and where you would encourage it? Like no Christians allowed in the Black Holocaust museum for example?
As a society, we create laws for those situations. I can tell you from experience over five decades, gays do not recruit. They simply seek out similar interests and are appalled by hostility they endured growing up and seek to make the lives of others, less of a war zone than they experienced.
Who cares. Homosexuality is an abomination to God. Plus your description of them being perfect citizens is a lie also. Their 'similar interests' are an abomination as well.
Stranger