Don't you (actually, we, I'm in it, too) have a faction with a similar (almost identical) purpose?
You already have another faction, the Shades of Sol (I'm in it), with a very similar objective (to unify Sirius, while this one wants to unify most of it...not so much difference...). What's the point of creating an otherwise identical faction? (although less warlike and more on the side of the law)
If you do go on, then a good name for it would be something like "the Committee for Allied friendship" or something like that, in short simply "the Commitee".