People pretend that the supreme court have any kind of moral or judicial authority, when all it is; is a bunch political appointed hacks, who was able to brown-nose and lie themselves through the Senate hearings.
That does not mean that they don't have authority, that just means you don't like them or how they got there. As for moral authority, I don't hear anyone saying that. Judicial authority, though? Of course they have that. They're experts in the law who make very real decisions that affect everyone in one way or another. That's judicial authority whether or not you believe it is illegitimate.