Yeah, you have that perfectly backwards. "Might is right" implies the most powerful entity has 'the right' to do what it wants on the basis of the ability to assert it. That it cannot be bound or constrained by rules / laws. And all other conflicts also reduce to "which entity is more powerful". So, by the time you go down the entity list from most to least powerful, there is no room for rule of law to bind any given actor.

And hence it is anarchy.

That's a pretty compelling argument for anarchism.