New Zealand Votes for Equality.

This. I guarantee you millions of LGBT couples across the globe would conduct their marriages as a religious sacrament, if their respective religion allowed them (which, to my knowledge, a few do).

Yes, and that's why this is a bigger fight than merely rights. Now granted I would fight for civil rights first if I was a part of the movement but given that one can be gay and religious it's only fair to say that the equality has been achieved only when it's recognized that everyone has a right to love, a right to choose or reject religion and the right to be recognized, as should be.

Religious acceptance can't be legislated.
Freedom of Religion means that the State can't force any clergyman to perform a ceremony that is forbidden by their faith.
The State can only legislate what marriages its own employees will license and/or conduct.

Acceptance by religions can only happen with time, and with acceptance by the public. And acceptance by the public happens when people see gays all around them, living normal lives, raising normal children, without the sky falling.