You’ve determined that the judge is likely to be an obstacle to reasonable resolution.* One possible answer: Try to limit the judge’s involvement in the case. No easy task. Opposing counsel may be helpful. This is more likely in smaller Bars such as Bankruptcy or Probate where you often work with the same people, but when faced with this particular problem you have to try whatever is available.
*My sincere thanks to the judges and other lawyers who shared their thoughts with me on this very sensitive topic.