I don’t know what you mean by “the executive branch can strip the power of the court”. It is meaningless to strip the power of the court. The Court's job is arbitration according to the law. It has no enforcement power. It just announces its decisions. It is up to the executive branch to enforce these decisions. The executive branch could refuse to enforce it as happened during the Jackson administration. Granted this doesn’t happen often and the President needs the Congress on its side to do that.