Secondary Objective:End the Conflict between the Liberty Factions, if it must be, by force.
Zone of influence:Border world's, Liberty Zone's
Okay so your zone of influence seems a bit weird, since liberty is right at the center of the map, whereas the border worlds (taus, sigmas, omegas) are on, well, the border of the Sirius sector and the two areas have no connection between them. Perhaps you meant the Independent worlds? (Mag/Cortez, Kep/Gal, Hud/Bering and a few others). Having a ZoI in border worlds would mean you would have to set a diplomacy attitude to a dozen more factions (IMG, GMG, GRN, RHA, sair's, CR, SCRA etc.) who operate in those area's.
And your objectives, is this another faction that will be flying around liberty shooting criminals? There's already an unbalance towards the lawful side so another faction probably won't be too appreciated. If you want to end the conflict between Liberty factions, a more interesting approach, than just shooting the pirates, would be trying to stop the prison pipeline system in Texas, and the rest of Liberty as well. I remember back in vanilla, the LPI was rounding up people on Denver and throwing them into Sugarland and Hunstville, simply to make room for the rich people's villas.
Something like: "Pirates, stop shooting people and being dicks, nobody likes you for it; Law-enforcers/Corps: Don't treat them like *****, give them some respect and they won't fight". Trying to fix both sides attitude, instead of just killing off one side. As for the Hellfire Legion, I don't know as much about them, since they aren't a vanilla faction, but I would suggest a similar attitude, of trying to stop the fighting and get people to talk out their differences.
Also, you haven't mentioned a specific diplomacy for the Lane Hackers, which you might want to include, since they are fairly close with the Rogues and Outcasts, so fighting them will probably set you against the Hackers too.
Thats about all I can think to mention now,
Good Luck running this faction, and i'll see you around liberty
Yea independence world not border i have mistake writing that. thank you for advices..