The Id in the Hat

Someone told me an interesting view of "The Cat in the Hat" really just being a story about Freud's theory of the id, ego, and superego. The cat is the id, telling the kids all these things they could do while thier mother is out. The children are the ego, they are the ones who make the actual decisions. Finally, the fish represents the superego, being the only one concerned with not doing these things that would never happen while mother was about. Also, the id is the only part of these three that remains completely unconscious and cat is the only one unknown to mother.