Optimal, I didn't quite understand what you consider faith. Maybe I read something wrong, but you seemed to say that faith is inseparable from religion, yet you also say that an atheist is a person who believes in themselves, which is also a form of faith. For example, I don't believe in any deity, but I believe in myself and in luck. Is that religion? No, it's faith.
Belief in religion means that you believe in God and believe that God will be with you after death, you believe that He will heal you, etc.
Belief in oneself is not that kind of faith. It's simply that you are confident that you can or cannot do something.