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I think it is a bad idea, not because the outcome would change - I believe as Nigel does the leave vote would increase - IMO possibly 60 / 40, but it would produce even more divisiveness in the land.
The problem for the remainers is that they don't have any real reasons to substantiate their view other than a supposed apocalyptic financial catastrophe, but these are the same people who along with G.Osborne etc. predicted a melt-down if the country voted 'out', the country did, and far from it happening, the UK economy has gone on from strength to strength.
The leave camp however have litany of reasons to leave; regain of sovereignty, immigration, escaping the increasing desire of unelected Brussels bureaucrats towards ever more federalism, a European army, the ECHR holding power over British law, the adding of more EU members - including Turkey, lack of European border control -- and more.
So the UK voted 'out' and 'out' it shall be.