In that framework, punishment includes things like "being shunned by a friend due to exposing your personal beliefs". Yet that friend should have the right to freely associate with whom they please. Please resolve this conflict without requiring people conform to your specifications.

> the original problem is about the person and their world according to their morals

You said: "how do we create a world that places everyone in their own private moral world".

I'm asking how you create this private moral world for someone who's moral desire is to force their will on other people.

Schelling points also apply to abstract concepts, like the idea of property itself. Private property is an abstraction we could take or leave, so why do we find it so useful?

A property line, with a fence or without, very clearly delineates who has authority over which square inch. If your neighbor decides to store stuff on your side of the line, they are clearly in the "wrong". They can easily foresee this, so the situation likely does not even come up.