There is SO much to unpack in that section.
I was just thinking about it today.
I feel like that's ultimately an anarchist stance in a way: the concept is that your ultimate authority is God, and that supercedes everything. Caesar literally owned the money they used, in a way. To be righteous goes beyond societal structure, it is something immediately actionable. I also think that the form of the argument invokes the concept of property in a way that suggests that one should be aware of ownership claims in the world and respect them, but only in as far as they do not conflict with what God wants for us.
One can deduce from a lot of what Jesus said anti-authority messages, though this particular one is not so clear-cut.