Ok. Seems a well reasoned argument although I take issue with the assertion that the referendum question was "hopelessly vague". It was anything but. Leave or remain. Nowt vague at all. Of course, the future course of politics AFTER a leave vote were genuinely unknowable. Anyone who claims to have known were spinning fairy tales.
But yes. Let's have a vote. But agree that only a meaningful majority can overturn the first result. No one wants another 51/49!