1. The bolded part is where, I think, you go off the rails. There are many beliefs and knowledge of the natural world that those who don't believe in God can actually know and are true. Many of them are true beliefs regarding nature, mathematics, history, and the sciences. People don't have to believe in God to believe the true and reality found in these and other fields.
Atheists have unbelieving minds, that's why they believe "false beliefs" and unbelief exists in reality and at the same time disbelieve that belief is capable of making the truth and reality known. When neither "false beliefs" and unbelief possesses a object of belief that could make them known in reality.
And if God is the Originator of the truth and reality, then yes; everyone including atheists has to believe in the reality of God in order to have a working knowledge of the truth and reality.
2. There are atheists in these forums who have better functioning reason and logic than most Christians who have believing minds. If Christians have truth and reality because they have believing minds then where is their reason and logic?
I have not seen any atheists' that have "better functioning reason and logic than most Christians". And being an atheist makes makes them an unbeliever and inherently a unbelieving mind. And logic is an attribute of the truth and reality; which unbelievers inherently lack.
An unbeliever's wisdom and knowledge pertains to the natural world and that is what they know. A Christian's wisdom and knowledge (can be natural as well) is based on a spiritual knowledge which unbelievers cannot understand.
So, you can't say that unbelievers cannot know things that are true unless you are speaking of spiritual things.
1 Cor 1: 12-16
Sorry but wisdom and any knowledge of the truth and reality are spiritual matters, because they are only obtainable through belief and a believing mind, which is also spiritual in nature. The Holy Spirit influences a believer's beliefs, making the "Spirit of truth's" means of communication with believers belief as well.
False beliefs are real beliefs. They just aren't true beliefs, and they don't necessarily have to be delusional.
If "false beliefs" have no connection with the truth or reality, then how can they be "real beliefs" in reality?
And yes, if "false beliefs" have no connection with the truth or reality, then believing they do is a "false belief" in and of itself and inherently delusional.