What are the evidence for no god?

[TheRocketSurgeon]

Um, that's not what we think about Neandertals. That must be a pretty old article. We have conclusive proof that 1) Neandertals were a divergent lineage of humans, for about 350,000 years separated from us, and that once modern humans arrived in Europe/Asia there was some interbreeding. All modern humans have a trace of Neandertal DNA. (The Mitochondrial DNA is a different question, since it has to do with the matriarchal lineage descent, and the statistical analysis of the divergence percentage has nothing to do with tracking particular mutations in the lineage; we know that all modern humans are descended from a maternal ancestor who lived ~80,000 years ago, long after Neandertals and Sapiens split from one another.)

They also have drastically different types of cranial cases, despite the similar sizes. If you put your hand right at your eyebrows, like you're shielding your eyes from the sun, you'll see why. Your skull goes "up" at that point, while theirs goes almost straight back. They had no vertical forehead, in the sense that we do, while their cranium extends backward into a protruberance, where ours is vertical, at the back of the neck. They are clearly not "just another type of human", in the sense that your article means. On the other hand, they are close enough cousins that we could still interbreed, and did, once the two populations re-encountered one another.

Your Neandertal article also ignores what we know about the dozens of other pre-Homo species we know about, including the fact that we have since traced the manufacture and use of tools to 3.3 million years ago, just after the time of "Lucy", the famous Australopithecus find (though she's hardly the only one we've found), back when our ancestors had brain capacities only about 1/3rd their current size, and we were only half as tall.