I think this should be in RP OOC, not suggestions. This is more the place for proposing site improvements or features. If you want to try to create a new independent faction, that's entirely up to you.
As far as the faction itself, I think we basically had that in the last timeline with the Alsakans. Beyond that, I doubt any independent faction could grow to have the kind of influence you're probably hoping for with this one - chances are, the faction would be annihilated when they tried to start their holy war.
Though depending on location, they could also get absorbed into the Hutts as well like some of the earlier indy factions. Or, maybe they could be related to the Alsakan Restoration Movement which is a small independent faction that seeks to restore Alsakan. However, they're a bit low on members right now.