//NJ; If the vote had been 52% for remain and 48% for leave, what would you be thinking now?//
You asked for honesty and I've expressed it on here before. I would have been unsurprised (I was mightily surprised when the vote was declared), bitterly disappointed, but I said before the vote that I would accept the vote and move on. My view was that the UK electorate had been taken into a political union, with changes to the supremacy of their Parliament, without their consent and by duplicitous politicians who had brought them there "salami style" - each step not a big change in itself, but when viewed end to end, a mighty change. What I wanted (since 1992) was that change to be put to a vote.
But I would not have pressed for the result to be reversed and I don't think a similar referendum should have been held for at least ten years - provided the UK's constitutional and legislative position with the EU remained unchanged.
But that is only my view. I am, however, inclined to agree with davebro in that I do not believe that would have been the end of the matter. Such was (and I believe still is) the antipathy towards the EU in this country that any government would have found it very difficult to maintain the status quo (as much as the EU does the status quo, that is).