If that is so, then it seems to me that if Mr.& Mr. Smith from Massachussetts moved to Texas, they could challenge that law on the basis of the Full Faith and Credit Clause.
Disclaimer: I think it is a bogus argument and that each State should decide the marriage issue. However, I don't see what would prevent a court challenge.
If Congress removes jurisdiction from the federal courts, what court are they going to challenge it in?
If it was, then your concealed carry permit from Florida would be valid in New York, and your marriage to your first cousin in Florida would be recognized in Kentucky.
Neither case is true