But you have to be clear what you’re actually talking about - and especially not get stuck in some cold-war era McCarthy vs the Commies ideological cul-de-sac.
The subject under discussion is the link between the ideas of the right-wing brexit project and anti-vaxers - it’s about what links ideas and outlooks, not about all the things in play in the shaping of the histories of different societies.
In practice, all historical societies are messy mixtures. The Bolsheviks’ ideas didn’t work out in Russia - but then capitalism has never worked either. No actual society has ever matched the theoretical description of, say Adam Smith (indeed, if you actually read The Wealth of Nations you will find that it’s full of warnings against supposedly fundamental aspects of capitalism, like ‘free markets’!).
Moreover, whenever capitalism has come closest to actually being a dominant form of social organisation it has always led to unacceptable exploitation, slavery, colonialism, depression, war (and incidentally probably more loss of life than any other social system in history). Only really in the ‘Bretton Woods’ period - approximately the 30 years 1945-75 - was capitalism made to work reasonably for some of the world - basically by constraining it within a socialist framework (the welfare state, etc), strict regulation of monopolies, currencies, etc, and very high redistributive taxation (90% marginal rates). But even then, this was only for part of the world, was dependent on exploitation of much of the rest - and moreover on the historic wealth retained in the developed world from the previous period of slavery and colonialism - and, I suspect, was only possible in the immediate shadow of the terrible shock of the second world war and holocaust, and the perceived threat of communism.
But of course neither right nor left is reducible to a blueprint that could get perfectly worked out in real history, not only because many other factors are in play there, but because they are not blueprints! The left, for example, includes a huge range of different ideas on how best to organise societies - anarchism, socialism, communitarianism, etc - it is unified only around ideas at a more fundamental level: eg. liberté, égalité, fraternité - and underlying these, rationality - the idea that humanity is in fact capable of deciding through reason and discourse how we should live.
If anybody is interested in my own personal ideas on a blueprint - god knows why you would be! - I believe in combining the energy and creativity of free enterprise with a strong socialist and environmentalist regulatory and redistributive framework - the scandinavian model, only better, if you like.
More interestingly, I’ve just re-read Simone de Beauvoir’s great novel The Mandarins. How shocked she would be, writing about how left leaders in Paris in the 1940s had already disowned the soviet model, to find that three-quarters of a century later some people still seem to be stuck in a cold war world view.