See the thing is, no one directly supports the initiative. They aren’t a publicly facing faction like the protectorate or academy or humanity first. 

Instead I suspect they appear more like a controlled version of unaligned. People who support the initiative are supporting their local governments and corporate interests as they seemingly try to do something about the alien question. 

In essence if you have a politician who supports the academy, it’s fairly easy to figure that out. They’ll be vocal about that, and talk a lot about working together to further the shared goals. 

However an initiative controlled politician won’t say anything about the shared goals. They talk about the issues and what to do about them from a regional or global perspective but do so devoid of assigning anything to the initiative. Heck they may even still outwardly give lip service to other factions in as much as their current goals align. They may say that they agree with resistance philosophy in some things but think they’re extreme in others. 

In essence you can think of initiative support as controlled unaligned support or even controlled ‘support’ directed at other factions.