But, in Marbury v Madison, the court arrogated to itself the right of judicial review and then through subsequent rulings arrogated to itself even more power to interpret more things as any one of the parties to a contract sought relief in the courts.
Judicial review in the sense of judging the constitutionality of the acts of the two other branches is legitimate and not unconstitutional.
But “judicial supremacy” is certainly not constitutional. The judiciary consisting of unelected federal officials, is, if anything, the weakest of the three branches because its scope is limited to individual cases and controversies and it has no power to enforce its decisions. And the judiciary is subject to the Constitution as the Supreme Law of the Land (Art VI, Cl 2) and any decision violating the Constitution is null and void.
Also because of the Supremacy Clause (Id.) as confirmed also by the 9th and 10th Amendments, all three federal branches and every state has the constitutional power to question the constitutionality of the acts of a branch of the feds.