Then your definition of politics satisfies you assumption of what politics means but that doesn't mean that those acts are not political as understood by many if not most others. By your understanding of politics, only governments and those participating to elect/support them are political entities. Even if we take that definition, whatever system theoretical (or in some parallel universe, practical) society you envision there are going to be small pockets of political governance that sets rules and enforces them. It could be as small as a family or a pack of 15 travelers, or as large as a village. There will be pack leaders who will enforce the minimal rules that you have set up, probably using physical force and there will be rules to avoid physical force unless necessary. There will be clashes between packs, which is just going to be a decentralized version of current international politics and there is going to be protection money taken from the physically weak likes of me, so that I don't get killed in such clashes.
I prefer better politics (your definition of politics) than no politics.