Ugh, I know I really shouldn't be getting into this, but who said homosexual conduct is a sin? In bible-based Christianity, it is not mentioned at all in the New Testament directly by Jesus in anyway, the Old Testament was rendered useless by Jesus' own stance, and the mistranslation of the original text has led scholars to believe there is nothing in there about homosexual conduct.
And even further, why should anyone who is a Christian hate anything? Understand the sin, sure. Pray for those who sin, sure. Support those who fight against sin, sure. Make an effort not to sin and repent for forgiveness if you have sinned, sure. Hating a sin or hating those that sin, no.
I've been saying this all along.