The US Supreme Court can change (and has changed) the Constitution arbitrarily and capriciously.
Who watches the watchers? What recourse is there?
No basis for your statements.
Please point out the Supreme Court having ever changed the Constitution regarding eligibility requirements for the office of President.
And, should you feel that you've identified such a decision, understand the limitations upon Amendment in Marbury v. Madison.
It's not possible for the Constitutional meaning of this term to have been arbitrarily, capriciously or otherwise changed in any manner. A Constitutional Amendment is required, as has been recognized several times in this decade, via bills sponsored with the intent of altering the natural born citizenship clause, or the definition of natural born citizen itself.
Thomas Jefferson's answer to that question, in his letter to To William S. Smith, from Paris, Nov. 13, 1787
The British ministry have so long hired their gazetteers to repeat and model into every form lies about our being in anarchy, that the world has at length believed them, the English nation has believed them, the ministers themselves have come to believe them, & what is more wonderful, we have believed them ourselves. Yet where does this anarchy exist? Where did it ever exist, except in the single instance of Massachusetts? And can history produce an instance of rebellion so honourably conducted? I say nothing of it's motives. They were founded in ignorance, not wickedness. God forbid we should ever be 20 years without such a rebellion. The people cannot be all, & always, well informed. The part which is wrong will be discontented in proportion to the importance of the facts they misconceive. If they remain quiet under such misconceptions it is a lethargy, the forerunner of death to the public liberty. We have had 13. states independent 11. years. There has been one rebellion. That comes to one rebellion in a century & a half for each state. What country before ever existed a century & half without a rebellion? & what country can preserve it's liberties if their rulers are not warned from time to time that their people preserve the spirit of resistance? Let them take arms. The remedy is to set them right as to facts, pardon & pacify them. What signify a few lives lost in a century or two? The tree of liberty must be refreshed from time to time with the blood of patriots & tyrants.