I would be extremely wary of taking the recent leave/remain polls at face value. I think public opinion can shift very quickly and if there is a second referendum the people vs the establishment is going to be a very powerful message and I would not be at all surprised to see the remain lead severely eroded.
That will depend on whether the BXP decide to field candidates against the Tory party, if they decide to target Lab leave marginals whilst leaving Con seats uncontested it might be enough to secure a Tory majority.