The country will be fine in the end. If anything, with how things are going, they'll probably end up either 1) not leaving (not that likely), or 2) end up with a very similar deal to what they have now (a lot more likely). But it will take years to figure things out and put it all together in a deal.
It makes no sense whatsoever for both sides to be mad at each other -- the EU and UK make good trading partners, part of the EU or not.