New Earth Realized is organized in a way similar to galactic systems or like the Milky Way Galaxy. It's all circles within circles, spheres of influence harmonizing with all others.
Every "solar system" like ours makes up a part of the whole. There are many suns and planetary systems that make up any galaxy, all working as one big perfectly synchronized system. Yet every single one of the billion + suns in the Milky Way is difference from all the others, moving in perfect harmony with all the others, just like the solar system we live in.
So in simple terms, like the follow picture shows, our organizational structure is circles within circles. There are no leaders, simply stewards of the many circles of influence we are guided to move within.