I think that you are a normal sleeper and that your sleepless nights are caused by your fear. I think that you already know this and that is why you may feel it is stupid, but you don't know how to stop. This is the same therapy that is used to help overcome anxiety and panic attacks.
Fear is fear and it is all treated the same way.
I haven't read the book, yet, but really want to. I feel that most people with insomnia do develop secondary fears of this condition. I feel it is a part of normal human behavior. It's a vicious cycle.