Anger at others is often a manifestation of a lack of self-care. Is your inner child angry at you for your lack of self-care and then projecting this onto others?
Think for a moment about the last time you got angry with someone. At that moment, what was most important to you — getting what you wanted or being caring?
Obviously, at the moment that you get really angry at someone, it is more important to you to get what you want than it is to be caring. Why is this? What is happening on the inner level that leads you to be more interested in what you get from the other person than in being a caring person?