Well according to the article you linked to:
The liberal intellectuals are always in a minority. The people who see that open societies, being nice to other people, not being racist, not fighting wars, is a better way to live, they generally end up losing these fights
the 'liberal intellectual' would presumably fight for the NHS.
But that's not really well supported by history, is it? Historically, we've become nicer, not crueller. Cruel and unusual punishment was banned, in this country at any rate, in the late eighteenth century, the Victorian times saw welfare, laws to protect children and even animals. Post world war 1, women could vote, post world war 2, the NHS was established, the death penalty abolished, homosexuality slowly became socially acceptable. I don't need to go on. If the above was correct, and the strongest 'nasty people' survived, we would become more violent and less tolerant. We don't. You might not like everything that happens - nor do I - but to claim its some form of natural order because of nwasty mwean society is, if I may be direct, horse shit.
There were arguments for staying in the EU and arguments for leaving it. A vote to remain was not a vote stating 'I love and adore everything about the EU' any more than 'leave' equated to 'I hate everything about the EU.'
Most of us found a balance and took it from there. A few die-hards on both sides went for a more extreme reaction.