Is keeping one's distance from a father who humiliates and abuses his children and wife, and belittles them in front of relatives, considered a wrong action on the part of the children?

If your father is abusive in his treatment, then be patient with him, treat him kindly, and show him dutifulness, because his right does not fall, no matter how badly he treats you, even if he is a disbeliever. Supplicate for him that Allah may rectify his condition, for this is the weapon of the believer. Strive to reform him through people of virtue. Do not despair and have a good opinion of Allah. Avoid harmful kin to the extent that harm is repelled without severing ties, especially with a father, because his right is greater and his connection is more emphasized. This connection can be maintained through financial support, fulfilling his needs, visiting him, writing to him, sending him greetings through correspondence, and similar actions.