You may want to check Michigan's RECUSAL statues. In a Texas-Illinois case ... jurisdiction, custody, divorce, etc. Recusal allows a judge to recuse (step down) him/herself when there exists a blaten conflict of interest for or against one party in the suit. That is the normal application of the statue.
However, I sought and found a "rule-of-law" , no BS attorney in a neighboring county (state capital); a former state supreme ct clerk. My wife's father was a long time business owner and heavy contributor to local politans. In addition, the particular venue and chief judge had the reputation and known to be corrupt. IMHO, it is doubtful a local good-ole-boy attorney will attempt to recuse a judge from a case.
The attorney submitted the motion for being "bias and prejudice against the father Davy and his children namely ..... It is required of the judge to sign the motion in agreement which he refused to do and the attorney simply phoned the judge the next day to advise he was re-submitting the exact same motion and if he reused to sign he would have his sorry-a$$ up in front of the supremes that very day. He signed. .... And it was a lot cheaper than a custody attorney.
Most unfortunately, I never found out how much my Tx judge was paid.