Wishful thinking on your part.
Prayer is also an establishment of religion. The courts have consistently implicated these religious practices in establishment rulings.
The government cannot modify or confirm religious practices such as marriage. Such actions are civil rights violations.
Marriage is an establishment of religion. The state has no power to change it.
If there is amphibole going on it was changed more than 100 years ago. It’s hard to find an establishment ruling fitting your archaic description today.