What if I don't want a separate faction?

[Trixie]

So I see everyone in Factions and I'm sitting here just wanting to be an Empire Soldier when I get out of the Underverse. So beyond the recognition and Imperial quests I can do, am I allowed to establish a section of the Imperial Military as my "Faction" only when I'm favored enough with the Empire? Could I make my faction an official Special Forces division at a later date so when a faction like LAW or New Babylon does something I can engage with my Faction, but I'm really just the Empire sending forces to deal with it. Forces that consist of Prime Members and maybe fodder secondaries. This wouldn't be simple. I'd be willing to prove Trixie's worth to every NPC who works for the Empire so that she becomes known and the Emperor knows her name. So that if she needed help from the Empire they'd be invested in seeing to her survival. Is this possible on any level?

Thanks.