A federal judge heard the case, and the First Circuit is taking the appeal. I think the federal issue would be the conflict between the "full faith and credit" clause and the Defense of Marriage Act.
I said no federal court will bother with it, "bother with it" meaning "take it seriously".
Logically of course it isn't the constitutionally guaranteed "republican form of government" when a state's constitution has no meaning, but court rulings are exempted from that clause- by the courts.