Where do you see this convergence? From my perspective, the 'Out of Africa' hypothesis [1] suggests that the current breadth of humanity started from a migration from around 50,000-70,000 years ago. To get from a group that would have probably been quite homogeneous, to the extreme diversity of basically every single thing we see today - physical, ideological, cultural, etc - in such an incredibly short time frame, would suggest to me that even the briefest of moments apart sets us all on radically different courses.

Humans, relatively to most animals, also have an extremely slow generational time, which I think also further emphasizes this divergence. If we assume a low end generational time of just 20 years, even that is as few 2,500 generations, hardly a blink in time on a normal evolutionary scale.

[1] - https://en.wikipedia.org/wiki/Recent_African_origin_of_moder...