No. The First Amendment precludes that. No wonder you come across like you have no clue what you are talking about...
Marriage exists, obviously. I married my Wife and would have done so regardless of what the government wanted. In fact, not having to get a Marriage License would have made it easier for a young couple starting out.
That you appear to WANT government involved in your marriage says a lot about you, again... None of it good.
There has never been a time in American history when the federal government was not having to decide the validity of marriage for it’s purposes, for instance in 1780 the Continental congress legislated on widow benefits for the military, and it continued to update those laws without interruption, 1794, 1798, 1802, and on and on.
So atheists are out of luck, and gay churches and Islam gets gay marriage and polygamy according to you.
Something that you repeatedly promote, yet ignore when confronted on it.