No it doesn’t, states and marriage law existed before Christianity, so did schools, and what does that have to do with the United States, where Christianity is not mandatory?
Why are you going off into the ozone land on this, try to stay focused on the law and politics here and protecting marriage.
Neither Sacramental Marriage nor Natural Marriage were established by the State, nor licensed by States until quite recently. Historically, marriages were often contracts between the families regarding the exchange and distribution of property and the recognized paternity or legitimacy of children. They were enforced by family and friends: that's what "Bridesmaids" and "Groomsmen" were all about.