I find this somewhat amusing. You’re attributing all the qualities of humans to (D)deities! Jealousy, rage, war. It just underscores that a multitude or a single display all the shortcomings humans have, because they are made in our image!
Have you searched for a wizard? How do you know a wizard would let himself be known to you? How would you know if you saw a wizard? Your entire argument rests on the fact that you would know a wizard if you saw one. Harry Potter says, you won’t recognize one as a wizard. That negates your whole premise. It says so, in the Potter books!
The Harry Potter books open with what has transpired already and tells us about an evil. It begins by invoking the names of Wizards and tells us the good ones from the bad. It tells of the wizards that have come before us and tells us of a looming evil. Are you open to the idea of Wizards or not?