I don't know if I understand this correctly, but why do people think the court should be elected by the people or do what the people wants?
The constitution and the laws of the land inform the court what can be done or not done. If the constitution contains clauses protecting any institution, that is what the court must follow. I don't see they can choose to ignore or change the constitution at the beck and call of "the people" . Perhaps the court can interpret, to clarify something, but it would be duty bound to follow the law wouldn't it?
Perhaps the fault is with the writers of the constitution, but a new government would still have to be cautious of breaking the current law while trying to rewrite it.