What is the ruling of Islamic law regarding a wife leaving the home and taking furniture from it, and filing lawsuits for alimony and seeking Khulʿ (dissolution of marriage) while she is the mother of an infant and disabled child? And what would it be considered if the court divorces her despite the husband's unwillingness?

The wife's departure from her home, leaving her child, taking things she does not own, and her demand for divorce are all major transgressions. If she is not wronged, then she is a disobedient wife (nashiz) who is not entitled to maintenance, clothing, or divorce. A judge's ruling for divorce cannot be overturned if it is based on strong evidence and does not contradict a text, a consensus, a clear analogy, or general legal principles. If the ruling is issued in the manner you fear, then you must submit to and accept it.