Here's my probably worthless 2 cents on the matter.
There's a reason why factions do what they do. It's pretty much black and white. ALG collects trashes, Junkers are Junkers, IMG mines outside of the houses where corporations can't reach them, USI is Space FedEx, the Gaians are just Bretonian ecoterrorists, yada yada.
The factions do what they're supposed to do. I understand wanting to expand your roleplay, but your roleplay is the roleplay of your faction. The faction as a whole has a direction, a goal, and just does what it does. GMG mines gas and acts as a miniature house. That's what they do. They mind their business and sell H-fuel. Do they have foreign interests? Perhaps, but certain situations are a bit far-fetched.
Because you can doesn't mean you should. It's basically treading on the feet of other factions and other potential roleplays. Plenty of factions have interests in Ontario much before the GMG would even consider as such, as an entity. Perhaps your faction is different, or a sub-group within a larger organisation and I can accept and recognize that. If such is the case, then either the GMG ID is unfitting for the faction, or tweaks and sacrifices should be done.