One way to reform the federal judiciary would be simply to appoint judges to serve for a period of twelve years but not after that but for the pleasure of the president.
That way any judge coming up on the end of his or her twelfth year would continue to serve only at the pleasure of the current president for four more years, and the president after him or her for four more years, and so on after that. Only new appointees to a court would enjoy the initial twelve year privilege.
The restriction would extend some accountability which now vanishes once one receives a lifetime appointment.
This way there is more hopefulness about the judiciary for both sides of the political spectrum. Both liberals and conservatives would have the reasonable expectation that the consequences of the political process would endure, but not for what might as well be forever, making all parties more accountable to the people.