Well... no.
Actually the government has always been involved with marriages. Or did you think that "bastard" "wife" "husband" and other such words had no legal meaning until the past few years?
In fact the Church Registry was considered a legal document and you could go there and get a copy of your parent's marriage lines to prove that you were legitimately the son of your father.
The federal government has been in the business of marriage and deciding what marriages were legal for a very long time.
It is only lately when people want to re-write the dictionary that they want the "government to stay out of marriage".
It would be funny if it wasn't so sad.
That's not an accurate statement. Until the the very first "marriage" deduction in the income tax...the 20th century...the federal government had no role in marriage whatsoever. None. Zero.
The states got involved much, much earlier in which they began to codify existing church norms and add property protections for women and children.