Alright, I'm going to start off by saying it's great that there's so much initiative in this faction and I think it's awesome that you guys want to do something, but I do have one simple question.
Why?
Why would you possibly want to do this? What do you gain by doing this?
Power? Not really, you have all the power you want in the One Sith; in fact, [member="Darth Venefica"], you're an admin of the OS and help make policy. If you split off from the One Sith you are actually making yourself weaker, as you would effectively be starting from the bottom. To add to this, there's this mistaken belief that the One Sith will simply become your allies; this, historically, has not been the case. The One Sith has opposed, and even helped destroy, every other Sith Faction that has ever arisen since it was around. Moreover, you would also be enemies of the Republic, the Mandalorians, Silver Jedi, Levantines, Rebel Alliance, Vitae, and any other lightsider factions that might spring up.
Planets? If you want to control certain planets you could most definitely go to the One Sith leadership and ask to control those planets. It has been done in the past and people got to run entire systems, our leadership is very lax.
Direction? You have direction; you have it right here, in this Minor faction, and you have it in the overarching One Sith Major faction as well. Absolutely nothing in this aspect would change as your general direction and mission statement would remain the same.
Story? I could see this, and I could see it being the biggest influence, but answer me honestly; is there a story you could you tell as a Major Faction that you couldn't as a Minor one? A break away from the Dark Lord? An attempt to make women more powerful in the One Sith? The latter makes little sense, seeing as women are and always have been an extremely powerful force in the One Sith: Daella, Mierin, Isolda, Matsu, yourself, me, to name a few; that's just a small number of those who quite literally carried the faction to multiple victories.
So why break away? What is the point? What do you intend to accomplish that you couldn't accomplish otherwise?
To finalize what I'm trying to say; this split would essentially be a carbon copy of what happened with the Republic and the Silver Jedi Order. If this faction breaks away and takes all of its active members, at least 8, you are essentially making the One Sith as an entity weaker. This is exactly what happened with the Republic, and it is part of the reason why the One Sith took Coruscant.
So, while yes, you would have your own faction, you would fracture both factions and render them less effective. The Republic has been on a losing streak since the Silver Jedi and the Levantines split away, and the Silver Jedi and the Levantines have basically just... existed. All three have suffered because of their inability to consider the long-term consequences of their actions, I implore you to learn from their mistakes.