I agree with your placement of fear. Very often fear is rooted in anger and vice versa.
Take my side job for instance. I am a bouncer, so it isn't unusual for me to have a drunk patron in my face trying to push my buttons. I know that if I get angry it is because I fear he is correct...or if I am fearful of his threats I might get angry and lash out. So by seeing the situation objectively...I feel neither fear nor anger...which makes me a very proficient bouncer.