The chief problem with this faction proposal is that it rests on the idea that Zoners are one faction.
Zoners are one "NPC faction," a term that is made to suit gameplay dynamics. Storywise, the term "Zoner" is equivalent of a borderworld drifter, vagabond, etc. It's a generic callsign for people who have left the Houses and other prominant factions.
The Zoners on Gran Canaria are completely different from those that live on Freeport 9 or Freeport 1. The Zoner Alliance is a pact between these drifter colonies, but even then the alliances are lose and most of the ZA's job involves resolving loopholes in the gameplay (such as, who permits non-Zoners to buy a Conference?).
The whole world is not neutral towards Zoners, but the Zoners are neutral towards the whole world. This is to say that a drifter colony is a drifter colony without any particular alignment. The Zoners near Gamma supply Corsairs in order to survive their wrath. The Zoners near Omicron Delta supply the Order in order to surpress Nomad forces parading outside O-74 and around Freeport 11. They don't do it because of good will, although I'm sure some do.
You simply can't pigeon hole the Zoners into one faction and create an organization that wants to kill them all. That's the equivalent of saying that you want to destroy every country with a population of under 500,000.