Not so. I am a pastor of a church, and I don't do all weddings that people ask for, even for heterosexuals. I only do weddings if at least one of the couple is a member in good standing of my congregation, i.e., under my pastoral care. And since homosexuality is a sin, therefore an impenitent homosexual would not be a member in good standing of my congregation.
However, the conscience objection only lasts until a rogue judge finds it violates equal protection. And these people know the rogue judges.
The agenda here is clearly not one of "live and let live".
The courts unfortunately may make that decision for all of us.