All that this whole business does is to define Theresa May as beyond the Outer Right, in the way that Jeremy Corbyn has been defined as beyond the Outer Left.
Never mind anyone to the left of Corbyn. And never mind anyone to the right of May.
Labour is glad to see the Independent Group go, and it is acting accordingly. But the Conservatives are mortified to see the Independent Group go, and they are acting accordingly.
Each will continue in its present vein. Corbynites will replace the Labour defectors. But the new Conservative candidates will be to the left of May.