The reality of Eurosceptism: I did vote to stay in the EU for economic reasons however I was willing to put "shared collaboration across the board" aside. However, since the anger in the north of the country, which is where I am from, I understand Eurosceptism and people have nothing. No jobs, no excitement, no prospects, no investment, everything is like pit hole, run down i.e the north-south divide.
The cultural reason behind Eurosceptism: Simply it comes down to us being too outward-looking and that created the British Empire which is still part of our culture, along with the British monarchy, which has lasted for centuries (and commonwealth) and having the special relationship contributes. We are the old bearded man, the USA is the frustrated angry child.
Talking personally on Brexit: People in the UK as a people miss/hate not being a big speaker in the world through the British Empire (prestige, global economy, military) and we missed and are throwing away the chance to create something "special" and that was and is The Commonwealth post WWII through trade agreements and an eventually creating a Sterling trading union bloc. The final goal would be to create a commonwealth union of UK (and overseas territories), Ireland, Singapore, Hong Kong, Australia, Canada, Malta and New Zealand and integrate former British colonial countries into the union that are third or second world countries. Getting access to the single market through negotiations, through a fee would be monumental and getting India would send everyone truly reeling.
In all respect we though I voted "in" thank god we are getting out.
Having Henry V crowned may prevent this, however, he wanted both kingdoms ruled completely separately so there would no integration for 300-400 years even if it go that far and France could easily split off. Then there is the discussion of whether the peoples in each country wanted integration and finally, there are the obstacles to integration.