Another good point. Although with an all volunteer army, you might say that service is now a privilege and as such the military may require a military marriage license, like requiring feet with arches. Trust me I know that wouldn’t happen under or current administration.
I know JAG law isn’t always consistent with civilian law.
Just a thought.
Aside from the fact that the military can’t find people in modern America who want that “privilege” of serving, the military already has to make a decision on the validity of your marriage, just as they did in 1780.
If everybody gets to legally define it themselves, from Mosques to atheists, then the feds would have to recognize them, as would eventually all the other states and court systems.