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No, the Constitution says, “The Judges, both of the supreme and inferior Courts, shall hold their Offices during good Behaviour, and shall, at stated Times, receive for their Services, a Compensation, which shall not be diminished during their Continuance in Office.” in Article 3 and in Article 1 “The Congress shall have Power . . . ] To make all Laws which shall be necessary and proper for carrying into Execution the foregoing Powers, and all other Powers vested by this Constitution in the Government of the United States, or in any Department or Officer thereof.”
It could be said that Congress is mandated to pass a law defining Good Behavior, so that the judicial branch can execute its powers as defined in the constitution.
The question is whether the new conservative party would push even further right wing as a whole. The Republicans had a schism in the late 2000s when the Tea Party was formed. When that movement was absorbed back into the Republican party, their ideology was pushed further to the right.