I'm talking about the prequel movies. Wolverine did not overshadow Cyclops in the prequels.
The Brotherhood was used for two (or arguably three) movies already and the Acolytes would feel like Brotherhood 2.0. Not to mention you would first have to make the public fear and hate mutants in order for those groups to exist, which was a plot point explored in the prequels.
The U-Men are another group that captures mutants to exploit their abilities (ala Weapon X). Even whole the "taking their powers and giving them to humans" is exactly what Weapon X did in X-Men Origins: Wolverine. So that isn't exactly new territory.
Sure, X-Statix would be new. However, they aren't the X-Men.
Again, talking about the prequels. Those heavily focused on Xavier, who is the leader of the X-Men. I would argue that he counts as a X-Men member. Wolverine is also a X-Men member, of course.