Actually, there are two parts of the fairytale which don't work in real life, and not just one. Aside from evolution being a bunch of BS, there's the problem with modern man "evolving" in Africa.
By that I mean that monkeys, apes, or "proto-humans(TM)" would be clearly incapable of moving down from trees and starting to live on the African savannas for any longer than about one day, tops.
I mean, what's the most major difference between human infants and the young of all prey animals? That's right: the baby deer have the sense to keep quiet until they're old enough to run, full speed. What's gonna happen the first time a gang of 'proto-humans' starts walking around on the savannas and some human infant starts screaming his head off because something displeases him, with 500 and 1000 lb predators walking around all over the place?
Can you say "Dinner Bell"??