It depends on which pagan societies you are talking about. The societies of Classical Antiquity did not. Nordic paganism we know very little about, but if what is theorized is true they were "more spiritual than religious", which is a meme of the modern New Age leftist which does accurately reflect them.
Although I personally believe that the Nordic pagans had a religion and society nearly as suffuse with the logos as their Mediterranean counterparts based on the extant Eddas which seem full of moral lessons elevating notions of self-control and reason over the appetite and spirit.
So basically Universalist Unitarianism? That's more Low Church Protestantism. "More spiritual than religious" yet again.
Over a long enough time horizon for all intents and purposes they are. Usually when might didn't make right on short time horizons it was due to insufficient might. I can give theological justifications for this as well.
Regardless, "Might Makes Right" still isn't a paean to Whig History wherein the good guys always win, but to Power Morality. Which again, if you can't square power morality, the law of the jungle, with the divine order you've got a serious problem on your hand as a "traditionalist".
It doesn't. At all. The promotion of high culture was far and away a much larger part of NS than it was Italian Fascism which was much more modernist in focusing on politics, economics, and overall having a systematized, bureaucratic approach. They were incapable of breaking from the social trends at play in Italy outside of waging war in Africa (which could still be argued as a trend of flagging economies for democratic governments).
I'm not. Arguably Divine Right is an Enlightenment Era idea put forwards as a rebuttal to the Enlightenment.
Not at all. It never had it's day to even be a tragedy. It was just an idea never put into practice. Reconciling Athens with Sparta has always been the ideal in Europe (among anyone who had an opinion worth mattering) that was never realized, and was put on ice for centuries with the dawning of the Enlightenment.
Which is the teeming masses yearning from liberation from their oppression? Which is what you stated as the reason for the popularity of "traditionalism" among the 'movement'. Except that's purely an Enlightenment view.
You can find in some places recorded the actual opinions of peasants in the late-comers countries to the Enlightenment, and it's patently clear that they were not giving out the sigh of the oppressed. The notion that they were a subjugated people had to be educated into them. Newspapers circulated into Italy and elsewhere to inform the people that they were oppressed. They couldn't read so it didn't matter. Garibaldi educated them though and let them know that they should be miserable and behold they were.
The so-called "traditionalists" that are actually Merchants of the Soul are similarly inculcated into this noxious narrative of oppression.
Also, in case you weren't aware Europe exists elsewhere than the HRE and in other periods of time as well, so concocting that this is the "True" Europe is quite a thesis which you haven't and I suspect can't justify.
Libertarianism isn't just an economic system. In fact it is primarily not. The economics are aligned as they are to suit Libertarian Virtue Ethics. The position of "alt-right" traditionalists who hate Kings and the Church in favor of decentralized authority so that they can avoid "oppression" are simply applying their Libertarian Virtue Ethics selectively. For now.