What is the way to deal with a father who mistreats his family and refuses advice, negatively affecting their social and psychological lives, especially since the children are facing difficulties in their marriages because of him?

Help your father overcome his condition, persuade him to seek treatment, and encourage him to perform acts of obedience and avoid what brings the whispers of Satan. Do not leave him alone at home, for he needs care, and this would be an act of disobedience. As for the father, he should fear Allah, safeguard his wife's rights, and not accuse her falsely.