But that's a silly and dishonest argument because there are plenty of areligious hetero marriages. If separation of church and state is anything more than lip service, statutory marriage isn't an explicitly religious institution. Not to mention that religions exist that have no problem with gay marriage.
I'm still waiting for an actual reason to rename the operation be forced to edit a few thousand statutes and negotiate or renegotiate a bunch of international agreements.
If I changed my name to 'fuckwad' people would treat me differently. Half of people's biases and thought sequencing is a result of simple word choice, not analysis of meaning.
Addendum: If this weren't the case, nobody would bother with propaganda or marketing.