So what you're saying is:
1) obviously the UK was in the EU for the past years
2) people voted against this for 2 reasons. One, they're against the EU. Two, they're not happy with how their own lives changed under 1.
3) We should ignore the second argument and go against the will of the people because ... we're smarter and think that argument is wrong ? Because their lives got worse for other reasons, not this policy ?
I disagree. When push comes to shove the government is responsible for outcomes. If your policies can't produce good outcomes for everyone, they don't deserve to exist.
And frankly, the way the EU is being run, I would vote to leave as well. Not because I'm rightist, quite the opposite. Because I'm an actual leftist:
a) the EU is an extreme right government for an electorate that is decidedly NOT extreme-right (tax income, public losses, private profits, too big to fail, DRASTIC action against asset/wealth taxes, ...)
We need a leftist government.
b) the population is right : globalization is definitely one of the factors that made them worse off.
c) the EU's monetary policy is a fantasy. The EU wants to devalue it's currency over time by giving money to the banks and taking it away from governments. This is not what their rhetoric says, but they've been doing it for 15 years now, I find myself unwilling to accept the rhetoric. The EU is built on an economic policy of asset inflation and this is clearly non-negotiable (poor Greeks).
I want out.
d) So far, by staying out of the Euro, the UK has staved off the biggest dangers of the EU monetary policy, but this can't last.
And frankly, I suspect this is at least partially what happened in the US. Trump, the republican candidate, certainly appeared to be to the left, economically, of the democrat candidate at a time when lots of people got systematically worse off. Meanwhile Hillary was proud to show that Wall Street was on her side ... And her opponent Trumpeting mostly economic arguments : jobs, not capital. Production in the US, not globalization. Well, he got elected, she didn't. Must be racism ... right ? Perhaps. I submit that Trump got far more votes from his promise to tax income less and tax imports than is generally believed, especially on this site.
I think that partially the democrats have been hijacked by this immigration, tolerance, ... ideology. It has gone too far. Traditionally, of course, the right is pro-immigration (cheap labor, acceptance of very weak employment conditions, tolerant of outright abuse and exploitation), and the left is anti-immigration, because they're trying to improve the position of the poor in society. Improving that position through scarcity of course works.