Is it being open-minded or closed-minded to reject the possibility of a god or gods existing?

The thing about gods is, they are usually not just some mystical, non-specific invisible entity. They have rules, they have limitations, they have definitions, they have a book of nonsense stories and they demand we mortals believe these nonsense stories or the god or gods will mercilessly punish us in an afterlife. All these rules, limitations, definitions, nonsense stories and afterlife scenarios are completely without evidence, so believing this stuff is certainly being open-minded, but is it being so open-minded as to be downright gullible? Must a balance be established between open-mindedness and closed-mindedness?