When discussing worldviews Atheism comes up unique. It seems that many want to be under the umbrella of Atheism but do not agree on its definition. Atheism is affirming the nonexistence of deity.
What makes you think that you get to define what atheism means? The reason I am an atheist is because nobody has shown me one scrap of empirical evidence for a god or gods, I have not seen or heard anything that makes me think that the claims of theists hold any merit whatsoever. You are welcome to show me some evidence if you think you have something.
I would also disagree with your statement that atheism is unique, personally as a rational human I accept that theism covers a wide variety of positions from people who claim to speak to god, know that he exists, believe s/he/it exists, think that on the balance of probabilities god does exist all the way through to not sure/ vaguely spiritual, I don't think it is up to me to define the meaning for those people other than a belief in god. So tell me where do you sit in the theism spectrum?
Now you on the other hand don't seem to have read or understand the wide variety of positions that atheists hold, I would say that my position is probably common to most atheists and that my definition would be accepted by most as well.
If you are going to attempt to redefine terms to suit your bias then you should expect people to disagree with you. Even other theists (see below) can point out the mistakes you are making if you can't bring yourself to take advice from an atheist.
https://carm.org/mistakes-christians-make-when-dialoguing-atheists