You can have all the rational discussions in the world about leave or remain but the fact remains that a significant portion of the people who voted leave, do not understand the relevant economic and political consequences to this move. I'm not saying that democracy hasn't spoken or that their vote is wrong, people have different values and considerations which they base their vote on and always will do.
Forgetting for a moment the overwhelmingly negative economic and political consequences that I personally see, the problem facing us right now is there appears to be no strategy on what to do next as you mention in your post, and the leaders of the leave campaign are already going back on the things they campaigned on. There is a very high chance freedom of movement is going to need to be kept in trade concessions and I worry about the position the Leave leaders are in after basing the Leave campaign around an anti immigration stance. Interesting times ahead and I fear for what happens when the realisation hits.
Unless of course, their vote wasn't actually about getting rid of immigrants?