You actually bring very good perspectives to the table. I think the faction stay as a coalition-origin one but be seperatist instead. A nationalistic-revolution over coaltion's suppression of their religion and nationality, while also altering the lore a bit to not step on the toes of established coalition lore. They should not really go for corsair ID as that sounds extremely contrary for a faction that draws inspiration from Starlancer lore pretty much.
I added a couple more lines, suggesting a Coalition ID and acting as part of the Coalition fleet. As for separatism, I don't suggest it just yet, maybe not openly.
Maybe the plan is to pretend to be Coalition, get their help to claim Exeter for themselves, and then secede, though that would leave them at war with everyone that matters in the region, with both Bretonia and the Coalition attempting to grab the planet from them. Not that the Coalition's ever going to take Exeter.
No, maybe being honest Coalition loyalists but Arabic makes more sense.
It's supposed to be a federal state anyway.