So basically then, 66% of those voting could vote to leave and we'd still not do so? What happens if less than two-thirds, but more than 50% of those who vote opt to remain? Do we remain? By what logic do you to reach that conclusion? Not on the "status quo" argument, surely, because the status quo (the existing state of affairs) at present is that we leave on 29th March because that's what the law, enacted by Parliament, currently says.
To conflate this argument with public hangings and burning of mosques is somewhat childish to say the least. The Government, of the day, mindful that the issue of EU membership was a contentious constitutional issue, asked the electorate what it wanted. It was a binary question and the answer from the majority was to leave. The current government must get on and honour their predecessors' pledge, not fanny about moaning that it's all too difficult.
Just out of interest, if we were not currently a member of the EU and a referendum was held to decide whether we should join, would you insist on a two-thirds majority in that vote too? If so, why? It might help us understand why you believe such a majority would be necessary in a vote to remain or leave.