My guess would be that they'd be gently shunned, so would probably be weighing up the relative merit of some (possibly short term) popularity against longer term merit of being able to effectively collaborate with party & peers.
What I don't get is why you would make your peers your enemy. Making the US bargaining side your enemy makes sense, but what problems would your peers have with that? Especially long term.
But if only selected MPs can see the text at all, maybe they've been selected carefully.