All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
If your father is as you have mentioned in the question, then he is definitely in the wrong. Even so, one of the means of being kind and dutiful to him is to advise him in a soft and gentle manner hoping that Allaah The Almighty will rectify him.
First of all, you should seek the help of Allaah The Almighty and then the help of whomever you think may influence him, like your relatives or any other person. For more benefit on how to advise a father who gets angry very easily, please refer to Fatwa 23587.
Also, we advise you and your brothers to be patient with him and not misbehave towards him, because if you do so, your action will be considered as severing ties with him. Indeed, it is not permissible for a child to mistreat his father even if the latter mistreats him.
Among the means of being kind and dutiful to the mother is to be nice to her, stand by her side, and remind her to be patient; for more benefit on the excellence of patience, please refer to Fataawa 85445 and 83577.
Besides, you should cooperate with your mother in any way that could be a reason for rectifying your father. However, if she is harmed by staying with him, then she has the right to ask him for divorce. Nevertheless, if she can be patient, then she should do so and this is better because divorce may not always be the best solution.
For more benefit on the stand of the children towards their disputing parents, please refer to Fatwa 97282.
Finally, it should be noted that the father is obliged to bear the expenses of his wife and his children and this is an Islamic principle. Thus, if the father is negligent in this regard, then he is sinful and this is forbidden. The Prophet said: “It is enough of a sin for a person not to provide means of sustenance to those whom he is obliged to support.” [Ahmad and Muslim]
Allaah Knows best.