How would non-religious people marry using your model? Would it just be unavailable to them?
Sorry for the late reply.
If consenting adults want get married, get married.
You should not to have to ask the state for permission.
Homosexuals can get “married” now.
Exchange your vows, have a party, go on a honeymoon, whatever floats your boat.
Now, if you are asking for special or preferential treatment from the state because of your assumed new status, that is another question entirely.