So one day momma “common apelike ancester” gives birth to “uncommon not-so-apelike descendent” Boy George and cousin momma “common apelike ancester” gives birth to “uncommon not-so-apelike descendent” Girl Anna and Boy George and Girl Anna hook up, migrate over the pond, and the rest is history. Uh huh.
That makes us and chimps the closest related apes by DNA.
A chimp is closer in DNA to a human than it is to a gorilla.
And when two populations diverge, there is no requirement that one die out completely.
Nor is there a requirement that just because humans came from non human ape ancestors, that all non human apes become more human in each successive generation. That is something cooked up by Creationist cretins who have no idea what actual biological evolution entails.