I'm not sure that 'left' and 'right' are useful labels in this discussion. They often seem mirror images of each other. The axis is rather libertarian (in the genuine sense, not so-called 'Libertarians' who are anything but) versus authoritarian. On both 'left' and 'right', there's an obsession with controlling what other people do, say and even think.
In Britain - and, I think, in Lutheran northern Europe - Liberal and Labour movements were very much rooted in religious dissent, non-conformist Christianity (Methodism much more than Marxism) There's always been a tension between libertarian and puritan authoritarianism (e.g. a century ago it wasn't porn that was seen as the problem, it was drink), but on the whole - unlike in USA, or even in Northern Ireland - those non-conformist churches remain more 'left', even 'woke', in their political positions.
I think what looks like religious dissent from this point in time is confused by how Luther's doctrine was used politically be those who's self interest took advantage of it.
In the old way, economies were agricultural, wealth was land and the Catholic church owned most of it, either directly or through allegiance. Catholics were frightened witless by believing that their only salvation would be through submission, not to God, but to the Catholic faith as the sole and exclusive agent of God. How godless is that? The Church was merciless in its oppression of dissent.
However technological progress created other ways of making money such as manufacturing and trade on a global scale. The Catholic Church tried to stamp out this new wealth with excessive taxation and religious damnation when the new money acquired political power. Lutherian doctrine was seized upon by the new money as anti Catholic and the instrument through which they might break the Catholic's grip on society.
I think Anne Boleyn wasn't just the pretty face and the pair of pert tits popular culture portrays her as. She was a known Lutherian, which means she was desperate to further her family's business interests by levering England away from Papal control. It matters that Dutch Protestants adopted Lutheranism too, to help throw off Catholic Spanish rule. The war between Protestant England and Spain, the thirty years war after that and even the English civil war were all for the same reasons.
The nice example here is when English merchants tried to take on the Dutch commercially. They began to make shed loads of money and became politically influential, dominating parliament. Charles I, Catholic to the core and consequently decadent and fine living at the expense of his subjects, slapped a huge tax on the merchants' ships to pay for his fun. Then the shooting started.
War is business, it's never been anything else and controlling what people think is necessary in order to get away with it. You could argue that in a right wing political system the government is controlled by gangsters, these days in the form of global capitalism. In a left wing system the government
are the gangsters.
Sadly, I'm sure people fought wars believing they had truth on their side 500 years ago, just the same as people do now. Who's truth is it?
I know the last thing you want to think about, when you're on line with your hand between your legs, rubbing yourself breathless and sweaty, is how the mechanisms of consumerism enable you to do that, but they do.