>The police exist to protect the wealthy and their property.

As a thought experiment, what would happen if they existed to protect the inverse segment and their property?

The inverse would be to use the monopoly on violence to punish those who wish to use property for their self-interest at the expense of the common good.

Basically imagine police throwing in jail people who declare a plot of land as belonging to them, or someone who has seized the means of production and is now pocketing all the profits.