It is dishonest of you to pretend I refer to a simple arbiter when we are discussing the supreme judge of the law of our land; but, that is your problem, not mine.
There is no Supreme Judge, there is a chief justice but he is answerable to the Congress. This idea of Judicial Supremacy is a fairly new idea beginning with Marbury but just because they made a decision does not make it infallible. The President can challenge their authority and so can the Congress, I doubt they would have much luck in todays climate but sooner or later they will have to, ala Jackson.