Is it permissible for an oppressive father to rage and be indignant at his wife and children whom he treats with extreme cruelty, deprives of sustenance, constantly beats and curses his wife, steals and lies, consumes usury, curses scholars, prevents his children from watching religious channels, and forces his wife to watch indecent clips? And what are the minimum rights of such a father over his wife and children?

The father's actions mentioned in the question are heinous and indicate that he is in grave danger. His behavior includes adopting the ways of deviant sects, neglecting prayer, consuming usury, and unlawfully taking people's money, in addition to abusing his wife and children with cruelty and failing to provide for them.

Nevertheless, the father still has the right to dutifulness, kindness, and patience. No word or action that harms him is permissible, as disobedience to parents occurs even with the slightest thing. One must supplicate for his guidance and righteousness and advise him with wisdom and good admonition.

As for the mother, she has done well by being patient. She has the right to take her maintenance and that of her children from the father's money without his knowledge. It is permissible, though disliked, to eat from his money mixed with unlawful earnings, and for necessity if it is all unlawful.