Plenty of normies can't communicate and cooperate properly. The world has been doomed many times at the hands of normies.
Plenty of Autists, can and actually take greater steps to understand social rules than normies because they feel that they need to make an effort.
Whilst Autism is not some "superhuman" condition, it's also not a diagnosis of doom by default. The spectrum is very broad.
You encounter antisocial behaviour? Chances are, you've encountered a normie whom can't even blame neurological disability for his behaviour.