Easy fix. Governor Walker should thank the judge for her advice about the law and announce that he won't be following it. As the head of the executive branch he has to determine for himself what laws he is responsible for executing. The judiciary can't resolve that question for him. Judges can't make him accept their views any more than he can force them to accept his views on proper criminal procedure. Just tell the courts to pound sand and get back to enforcing the law.
What are the Dems going to do about it? Impeach him? NBL. Recall him? Not for a full year. Beat him next time? Maybe, but don't bet on it.