Atheist friend

During a discussion with my atheist friend, I argued that there is no morality without God.
He claimed that morality is something that developed evolutionarily and that the following process actually occurred:
The person who had a different morality – for example: wanted to murder, rape, etc. was removed from the society with the correct morality and then evolutionarily every other (bad) morality became extinct… and only good morality remained and that’s how it was created. I would like the rabbi to please expand and explain the issue and if the friend’s claim is correct or incorrect…?