This has been a big blow and, unless we act united and fast, the EU is going to crumble. You say that, due to how the referendum has played out, it would be better to repeat it in some months time. What happens in those months? Nobody knows, but probably very big damage for the EU and for European countries, while financial havoc paralizes the economy.
And afterwards? You vote again? Leave again? Why wait more then? Remain? Can the EU really deal with such unstability, a partner which does not accept a role alongside the rest of EU members, constantly complaining, penny pinching and accusing the EU of all imaginable problems? We have frankly had enough. I understand this is not your personal stance, but that is the UK's attitude.
I think that “what is done can not be undone“. Lets try to craft a deal which suits both parties. It could be that lots of EU agreements can be salvaged for EU-UK cooperation.
If we were talking about this last week, I would support you, but reality has kicked in, and you wanted leave. This is not a game you get to play again and again. This was a one-man bet, and the whole country played along. What a disaster!