I've seen science for both sides. When I first heard of it a few months ago I was bored and spent some time reading about it. There was plenty of pro-paleodiet science that's been debunked, too. The paleodiet, followed strictly, is poor in calcium for one example. There's not remotely any consensus on the idea that the human genome is evolved specifically to eat that diet.
Conclusion? Good ideas to reference when deciding your own diet, but far, far, from being The One Diet. Such a thing does not exist.
Again, I'm not saying the diet is bad, just that it's not a panacea diet for all that will resolve all diet-related health issues, as is practically the claim of many of its evangelists.