Why should he resign when he believes he is indispensable and has been backed up by BJ?
These people have no shame. They got where they are because they are both habitual liars and in the course of the brexit fiasco, their lies worked - they were swallowed by the people (not most people but enough to give them a win in our corrupt system).
They now expect the people to swallow any lie, no matter how outrageous and feeble, that they spout. They think they will always get away with their lies, bacause they've always got away with lying in the past.