YES OR NO.
Are you saying that people who don't hate homoseuxals cannot be conservatives?
So, as my response above makes more clear that the double negative question that is asked, the answer is NO. ("Now are you saying that NO conservative can associate with ANY homosexual and still be a "real, true" conservative?" )
Are you stating that if a person considers homosexuality immoral, unnatural and unhealthy he therefore HATES homosexuals? Is that really what you are saying?