The problem is that the executive appoints the lower court judges, so the pool is tainted. A solution to this is probably something everyone needs to start thinking about (the whole problem), because a future democrat or sane republican will need to push a reform onto the court. Biden tried to push term limits before he left. Trump is a pen tester and showed all the cracks, so there's going to have to be a massive repair job of our systems.
> problem is that the executive appoints the lower court judges
President nominates judges; he doesn’t appoint without the Senate.
Moreover, “the Congress may by Law vest the Appointment of such inferior Officers, as they think proper, in the President alone, in the Courts of Law, or in the Heads of Departments,” a category that includes “Judges of the Supreme Court” [1]. The Congress may, by statute alone, remove the President’s power to appoint SCOTUS justices.