You are too limited in you view. There is a simplier and less costly way. The liberals have been doing it for years. Simply denounce, criticize, and derogate the existing structure, and create the public meme that it is faulty and in need of repair.
Over time, the meme will do it's job. The good news is that this is pretty much true of our defective court system. It has long been nonsensical.
The blind adherence to "Precedent", for example, makes a methodology out of a fallacy. (Tu quoque, or put another way, Compounding errors.)
Nowadays, the terms "Legal" or "court" ought to be the subjects of derision.
I would contend we need to repair and revitalize our constitutional system, not denounce, criticize and tear it down farther.
Your approach is indeed logical, if your goal is simply to be “agin” something, as it at root is for liberals.
But destroying what is left of the American constitutional system does not necessarily mean it will be replaced by something better. Historical precedent is quite to the contrary.
However, I quite agree that our present legal and political system is not deserving of much respect and has little inherent legitimacy.
IOW, I generally agree with your premises but disagree with your conclusions.