My only experience with social causes is doing labor organizing in Seattle, but that experience has been almost exclusively organized and run by uneducated working poor.
My point being that from what it looks like, there probably isn't a list of people organizing the CHAZ because it's mostly a spontaneous reaction to the current circumstances. They're explicitly non-hierarchical, and if they look anything like the circles of activism I've worked with in Seattle they're probably made up of more working class activists than this idea of liberal business owners.
But that is just my assumption based on my own anecdotal experience, I don't live in Seattle anymore and haven't been to the CHAZ myself.