Must I please my mother and divorce my wife, or please my wife and abandon my mother, given that there are two children, and this is due to my two sisters inciting my mother against my wife and my brother’s wife, and my mother listening to them and instigating problems?

Do not disobey your mother or abandon her, and do not divorce your wife without a valid reason. It is not obligatory for you to obey your mother if she orders you to divorce your wife. In fact, some scholars have deemed this forbidden, arguing that obeying the mother in divorcing the wife is not an act of righteousness towards her, and that it does not permit divorcing the wife based on the mother's command. You must be dutiful to your mother and treat her well, combining this with treating your wife well, with gentleness and forbearance.