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.
First of all, we ask Allaah to help you, to relieve your distress, to make for you a way out of your difficulty, and to rectify your husband.
We recommend that you supplicate for your husband and your sick son, as Allaah answers the supplication of a person in distress and removes harm; Allaah says (what means): {Is He [not best] Who responds to the desperate one when he calls upon Him and removes evil and makes you inheritors of the earth? Is there a deity with Allaah? Little do you remember.} [Quran 27:62]
The most important thing by which marital life becomes stable is to have mutual understanding and help each other with the burdens of life, and you should treat each other with kindness; Allaah says (what means): {And due to the wives is similar to what is expected of them, according to what is reasonable. But the men have a degree over them [in responsibility and authority]. And Allaah is Exalted in Might and Wise.} [Quran 2:228]
The children are the responsibility of both parents, so what your husband said to you is not correct; that the responsibility is on you alone. It has been confirmed from Ibn ‘Umar that he said, “I heard the Prophet say, “Every one of you is a guardian and is responsible for the people under his guardianship … and a man is a guardian in his house and is responsible for the people under his guardianship, and a woman is a guardian in her husband’s home, and she will be questioned about the people under her guardianship...” [Al-Bukhari and Muslim]
To benefit from some useful guidelines for each spouse to overcome such a problem, please refer to fataawa 88319, 90395 and 257623.
As regards divorce, it may not be a solution; rather, this may increase your problem. So we do not recommend that you seek divorce unless you are desperate and it is impossible to continue life with your husband and you feel that the benefit of divorce outweighs the benefit of staying married to him. So you should be patient and seek the help of some righteous people from your family, or his family or friends, hoping that Allaah will rectify him.
Allaah Knows best.