Why? Catholics (as an example) don't perform or internally honor Jewish (as an example) weddings, either, without it being any sort of First Amendment issue.
That’s why Catholic discussion of Jewish marriages is not a First Amendment issue, while Supreme Court Justice Alito advocating against gay marriage is.
Right. That's my point; there's no need to reconcile the First Amendment with permitting gay marriage. There's nothing to reconcile.
The common "allowing gay marriage is an infringement of religious freedom" argument is bunk for that reason.
No religion has the right to demand of others that they respect its belief.
"You cannot, because my religion disapproves" is the religious first amendment version of "Your right to swing your fist ends where my nose begins".