(By the way, earlier in this thread, you may see something astonishing: When Roy Moore announced that he was not going to obey a federal order, I pointed out that such conduct could--even ought to--subject him to discipline on ethical grounds... which is exactly what happened! Too bad I didn't put in a claim for the million bucks, since that prediction was better than any that I've seen from any self-proclaimed psychics.)
Another possible avenue of pursuit is legal ethics, which is generally more encompassing than judicial ethics. All practicing lawyers are licensed by one or more states, and each state can discipline lawyers for ethical violations. Proceedings were instituted against President Bill Clinton in Arkansas, you may recall, and Clinton no longer has his license to practice. Judges that hold law licenses can usually be disciplined, too, and if they need to have a law license to practice, then loss of that license can disqualify them from the bench.
Curiously, there is one judgeship in the US for which a law license is not required: The US Supreme Court. Thus, if someone were to initiate a state ethics complaint against (to pick a completely random justice) Clarence Thomas for (to pick a completely fanciful infraction) repeatedly lying about his wife's income on his 2003-07 Supreme Court financial disclosure forms, discipline against this individual that affected his law license would not disqualify him from sitting on the High Court.