I think one main argument of people that take the ‘abolish ownership’ seriously don’t mean the concept of owning things you need and use, but the concept of claiming ownership of property that you DON’T use and use that as a way of enacting power over others. So I would say it wouldn’t be throwing people out of their homes but that owning property you are not using your self would not be legal. You could grab land or an empty house and it would be yours as long as you need it. Of cause this will not get rid of all the problems and conflict that already exists in some form now, but it doesn’t have to be total chaos and lawlessness.