Who is to say that our minds and thought processes are not chaotic? If anything, the fact that our minds and thoughts are so random, chaotic, unpredictable, and most importantly unreliable, is proof that they are a product of a "non-living chaotic process devoid of consciousness."
No information exists in a sense of physical matter. Books are composed of paper and ink, computer files are composed of steel and electrons, and your memories are composed of carbon-based cells that form neural networks. "Abstract ideas" are just electrical impulses, racing through your complex neural network, that decide to take a detour and try to explore a different neural pathway. There is nothing special about redirecting electrons to go down a different path, no matter how much your ego wishes there was.
Also, atheism isn't a religion or a belief. The "a" in atheism specifically means "lack of." I am an atheist not because I "believe" there is no god, but because I "don't believe" others when they tell me there is a god. I don't have a belief, I just don't find other's beliefs convincing.
Information does exist apart from any human mind. A contradiction is an abstract idea. For example: I can say, "my car is in the parking lot, and my car is not in the parking lot." That would be a contradiction that cannot happen apart from the laws of logic being a reality.
Your brain does not need to be processing an abstract thought, in order for information to exist. If this was the case, if you were the only living mind, every time you went to sleep, the universe would implode.
The universe, and our minds, are not chaotic. They are structured, ordered. There is no such thing as chaos in this universe, chaos being the absence of information.
Besides, if what you say is true about the human mind, then how can you argue anything at all? Just give up, its pure chaos in our heads.