Yes..it would create a ‘Sword of Damocles’ for the GOPe...and frankly...I can’t believe I am saying this, but they would be free to join with the Elizabeth Warren wing, where interests overlap, in regard to opposition to the GOPe agenda.
There were Blue Dog Democrats who successfully steered the Senate. No one complained.
There was a recent Gang of 8. No one complained.
Why not a Tea Party 12, 13, whatever? Who would complain?