What is a natural process and what is a social construct? I do believe in natural processes trumping social constructs, very much so, although I dont necessarily believe that the rest of your argument follows from your/that premise.
Instead of supposing that hierarchy or federation are natural I'd say that both reflect culture, and not a little artifice too, spontaneous order is way, way more basic than either and not preferable to either in reality.
So far as controlling nature or imposing theories upon it, I tend to find that romantic primitivism has its appeal until people have spent long enough without electricity or modern plumbing but that's just me, I'm not intending this to seem snarky either, its a genuine observation.
To a point I agree with natural law, especially how Stoics have considered or contemplated it, although nature definitely is not what a lot of people make it out to be. Seeking examples of behaviour among beasts of the wild and using them as a vindication for human norms or mores is a terribly bad idea when you properly consider it, animals eat their young, resolve generational conflict with murder etc.
There's redeeming features too, as perceived and interpreted by human observers again, but I think I've made the point.