Silence is the best answer, his bullying itself means that you are absolutely correct, its totally his problem alone. He has his own inner turmoil and his Ego not his true self is trying to create problems. Once Ego gets out of the way and the conscious and subconscious mind work in unison only then can we have peace, this works for both you in not giving any power to this type of behavior and also to him if his ego could get out of the way that is. 🙂

Best,

S.