There is more to just the “full faith and credit” part of that section...
Pay attention to the words in red:
Article. IV.Section. 1. Full Faith and Credit shall be given in each State to the public Acts, Records, and judicial Proceedings of every other State. And the Congress may by general Laws prescribe the Manner in which such Acts, Records and Proceedings shall be proved, and the Effect thereof.
This is just the trouble with a lot of these issues... nobody bothers to read the whole thing...
The court has no jurisdiction, it is a Constitutional function of Congress, not the courts...
Now, I do favor a strict wording (also to exclude civil unions, domestic partners, etc., etc., ad nausea) as a Constitutional Amendment.
Yes, in other words, DOMA, which congress did pass.
This would seem to say that the court will rule that it is Constitutional, and thus, a Constitutional amendment is not necessary.