The article doesn't advocate for "no police". It says that we tend to ignore more and more societal problems and simply ask police to deal with the consequences. It underlines that police aren't --and will never be-- social workers; their mode of operation is to use legitimate violence to prevent or punish undesirable behavior. When a problem is dealt with by the police, the result is more violence. This is hardly police's fault: it's why they're there.
The article suggests society should actually address its problems (poverty, homelessness, drug use, etc.) instead of ignoring them, and that police should be a solution of last resort, not the standard response to anything that's "wrong".
We can agree or disagree, but quoting Pinker saying "that no police results in chaos" is not helping the discussion.