Do the mentioned reasons—the wife's dislike of the husband's mother, her desire to leave the marital home, her threats of suicide, the threats from her family, and their false accusations—absolve the husband of responsibility before Allah Almighty if he divorces her?

It is the wife's right to have an independent dwelling that does not cause her harm, and she has the right to refuse to live with her husband's mother. If the husband wishes to house her with a co-wife or with his in-laws, such as his mother, she has the right to refuse this, and he must house her in a separate dwelling. If the husband stipulated to the wife that she live with his mother, then she is obliged to adhere to the condition unless she is harmed. It is not permissible to borrow with usury to buy a dwelling, as it is one of the greatest major sins. Divorce should not be resorted to except after all means of reconciliation have been exhausted, and if it is for no valid need, it is disliked and may even be forbidden. However, if divorce is due to the wife's ill-treatment, it is permissible, and there is no sin or dislike in it. It is preferable to be patient with the wife, to reform her, to provide her with an independent dwelling, to deal with her wisely, and to combine honoring one's mother with good treatment of one's wife. It is not permissible to fall short in honoring and caring for one's mother, as it is one of the greatest acts of proximity to Allah.