I'd be interested in joining or helping a GMG faction emerging in any way.
My two cents: you are going to immediately run into the problem of how to deal with Sigma 13's traffic. Work out your own RP first before you start making a policy to deal with all these "trespassers". It helps to ignore them. And I mean ignore them. Being in 13 is going to be a real challenge for you, so you can set a good example, get good exposure for your team and raise the standrads. Or you can fall to the low standards maintained by some of the people who frequent the route.
And I like that you guys scrapped the caps: you don't "need" a cap, not even a gunboat, even for a flagship. You have a base. That is enough of a presence RP wise. A faction of fighters and bombers, which follows the lore of the GMG, will add to the authenticity of the faction.
Perhaps ditch the generic trade ships. Weapon wise: GMG, generic, or civilian. - don't dilute the GMG flavour you have overall. And arms deals to acquire other factions weapons and ships will set you on the road to being less unique than you could otherwise be. Live within your limitations - it raises your profile.
But as I said, I'd love to see a GMG faction emerge.