Um. Maybe you should study some basic anthropology. Modern humans have been around for tens of thousands of years. It also takes a lot of intelligence to survive in pre-agrarian societies.
What you are proposing is borderline racist. Just a kindly warning.
Neolithic man was smart enough to make beer.
From what we can tell the true tipping point was not an enlargement of brain size. (Neanderthal man's was larger than those of modern Humans), but the sudden explosive development of language.