No, as the Biblical standard it is God's idea for man to be joined to a wife and not the same sex, that has nothing to do with race and it has nothing to do with haircuts.
Genesis 2:24
Therefore a man shall leave his father and his mother and hold fast to his wife, and they shall become one flesh.
We cannot expect a conservative Christian marriage celebrant to approve of a same-sex marriage, a Uniting Church Christian might, but a conservative Christian won't, as in a few verses of the Bible, God clearly does not approve of that act, just like He does not approve of the act of fornication, adultery, drunkenness or worshipping wooden idols.
A Christian refusing to take part in same sex marriages does not equate to hate, all it means is they do not approve of the action of a man marrying a man or a woman marrying a woman, just like they don't approve of others getting drunk or having sex before marriage or worshipping other gods.
Every sin except for blasphemy against the Holy Spirit is forgivable though.
But hey most of us depending on what we do, will still cut their hair, will still mow their lawns, will still sell them groceries, will still sell them petrol, will still sell them movie tickets, will still do their plumbing, will still treat them in hospital, etc.
Marriage is an entirely different thing though, and there are religious traditions and practices around it. Just like you will find some of us would not want to go and visit a mosque, Buddhist temple or a hindu temple or participate in a pagan feast.
Do you understand?