The last 8 words of this paragraph struck me funny.
The Constitution allows for two exercises of legislative power against executive branch usurpation- impeachment and defunding. Neither requires the permission of the judicial branch.
A lawsuit by Congress against the President subordinates the legislative branch to the judiciary, while seeking to end subordination to the executive. Trading one master for another.
It is more complicated than that, there is a whole background in common law predating the Constitution for ANYONE (Including another branch of government, in our system) who has standing and meets other jurisdictional requirements to seek a 'Writ of Mandamus' or 'Writ of Prohibition' to make the Executive do something or refrain from doing something.
In that sense, the high court does have that superiority legally. Practically, that has generally not been messed with since Andy Jackson told them to stuff it after the Indians beat him in the court, but since Jackson knew there was no chance he'd be impeached over it, he proceeded to steal their land, exile them from it, and kill them off anyway...hardly what we'd call 'Rule of law' today, but even back then no subsequent Presidents ever went that far, and it's pretty unlikely that even Obama would try it now (But ya never know).
As a German attorney once told me about the philosophical basis of their own highest Constitutional court (
Verfassungsgericht), a high court 'Should be a brake, not an engine.' Both the other branches are subordinate to the Judiciary in that conception, but the check on that judicial power is that the court is not supposed to legislate or initiate laws from the bench, only rule on the acts of the other two branches (Almost entirely the Executive branch in practice, since no matter what the Legislative branch does, they are not the final actors on implementing any laws).
Beginning with the Warren and Douglas courts, unfortunately, there is a dangerous thread in American legal circles that courts should actually initiate social change rather than simply keep the other two branches honest.