While Krakoa the nation-state maintains foreign relations with the rest of the world, the need existed for a black ops team to perform deniable missions for the protection of mutantkind. This is X-Force.
Wolverine, Kid Omega, and Domino serve as the strike team for combat deployment. Beast, Marvel Girl, and Sage are intelligence and operations. Forge runs the armory, while Black Tom Cassidy is a rear guard who communes with Krakoa itself.