Let's take this thought to the extreme: Everybody is rich. Everybody has a mansion in the countryside and a NYC skyscraper apartment and a dozen cars etc but the world is still unequal: Jeff Bezos has a Yacht and a private island and a personal spacestation.

You think there would still be theft? Why should anyone break into another house if they live comfortable anyways. Why should anyone waste their time patrolling the streets against home break ins or robberies?