Could greener, more altruistic network states co-exist with money and power hungry billionaire-led communities?
Not peacefully, that's for sure. I think that touches on a problem humans have always had. Imagine 10 separate societies existed. If only one was a warmonger, while the other nine sought peace, then all ten need to behave like that one asshole or they'll be conquered eventually.
That's why I don't see how peaceful, green societies could live alongside rapicious capitalist monarchies. Actually I'm pretty sure that played out a couple times already, and that's why things are the way they are.
What kind of political/state environment would these network states exist within, if any? That could allow for different types of relations between network states, but coexistence between states with such different goals seems difficult.