Actually, a public poll on who wants to stay in the EU would be a good example.
The "elites" (MPs of both parties) want in... the population would rather be out...
Economics is complex. Free trade is more popular with the elites than the masses, but on that one, the elites have a better grasp of the economics. Still I doubt the majority in Britain want to bag the EU, at this juncture. Do you have a relatively recent poll on that? They do want to keep the pound sterling, and it has been kept.