No, the judge doesnt work for the Executive Branch under the Department of Justice.
Federal Judges, except for Article 2 Administrative Law Judges who interpret regulations promulgated by executive agencies, are employed by the Judicial Branch of our government. Their "boss" is essentially themselves, then their Circuit, but ultimately the US Supreme Court, who cannot fire them, but only Congress can fire them by removing them through House impeachment and conviction in a trial in the Senate.
Thank you. I finally got around to recalling civics classes and then we had the Impeachment of Alysee Hastings as an example.
Getting old and the grey matter doesn’t kick in as it used to.