The most recent discovery was that all the Great Apes have their chromosomes spliced together one way, and we have an entirely different way. Actually, it's almost opposite the way it's done in apes.
The division between humans and apes may well go back much further than anyone imagines ~ with the similarities being mostly parallel evolution.
Indeed. The deeper we go, the more we find that separates us from the other Primates. Your main point is dead on: if we and they belong to the same biological tree, the branches are widely separated.
I never thought about it being parallel evolution. That would be interesting. There are a whole lot of differences that no one has explained. Why are our hair follicles so different. Why do we have sub cutaneous fat layers like an aquatic mammal. Why do our females not go into “heat”. why does an ape’s skin pull away from its body like the hide of a dog and ours doesn’t. Why do apes not care where they defecate(like a goat, cattle, or birds) and we do care(like a cat or a dog)? Why have apes never figured out how to use clubs as weapons? Why do they have an innate fear of water and we have an innate love of water? Why do we sweat so much and apes don’t?