Common law marriage exists in a handful of states. For the rest, whether you have a religious ceremony or not is of little if any legal consequence. The legal consequence is tied to the license. If you want the legal advantages without the license, hold property as joint tenants with right of survivorship and write a will.
As for your ministerial relation with caesar, I might suggest looking at whether having that bond is worth it.
As for CD, I’m not a fan of it in the classical sense (e.g. MLK). Why make caesar’s pals in the prison industry happy when there are more than enough perfectly legal responses that haven’t been looked at. If it makes folks happy to call that approach CD, then I won’t quibble over it.
The bonding is required in most states to solemnize marriages...or something like it. And there was never before a concern with the state violating the very nature of marriage itself. However, you make a good point.
I’m even thinking of changing my wedding service: “Good people we have gather together in the sight of God and in the presence of these witnesses to join this man and this woman in NATURAL marriage. (Adding the word natural). The bond of NATURAL marriage was established by God at creation, and our Lord Jesus Christ Himself adorned this manner of life by His presence and first miracle at a wedding in Cana of Galilee. NATURAL marriage signifies to us the union between Christ and His Church, and Holy Scripture commends it to be honored among all people...”