What is the ruling on a father supplicating against his son and disowning him and being angry with him, if the son is trying to honor his father and tolerates his abuse, fearing that his father might use his personal information for suspicious matters, especially since the father is addicted to sins and curses the son and his mother and slanders her?

If your father is as you described, you must maintain ties with him to the best of your ability without incurring harm upon yourself. It is your duty towards him to advise him to do good and forbid him from evil with gentleness and wisdom. If you fulfill your duty towards him and do not mistreat him, then his anger or his supplication against you will not harm you.