Well I’m thinking hat just because extricating ourselves will be bluddy difficult (wonder why haha!) is no reason not to pursue it.
No, there was no reason not to pursue it, but there was no plan. There seemed, despite the advice of experts such as Ivan Rogers, to be no consideration of what the best plan would be or understanding of the fact that such long and close integration would take more than two years to disentangle. The best Leaver's plan that I know of visualised it taking about 10 years of gradual withdrawal and refocusing. There was no need to rush into it in the way that May did.
Unfortunately, the Leave campaigners gave the impression that it would be the easiest thing in the world to do. This inevitably raised public expectation of a quick break. Had the government taken the trouble to research it and to explain to the public the complex nature of the task then maybe we would be in a better place now. Still going for Leave, perhaps, but without the awful division and the frightening rise of right wing extremism.