Thanks for yet more very excellent analysis.
Really, though, isn't it time to get beyond 'left' and 'right'? All such analysis I read--from left and right--conveys above all the necessity for humanity to abandon ideology for governing governance. The 'Enlightenment' was all about abandoning theology for governing governance. Ideology cannot provide really just governance for the very same reason that theology cannot: in the end it is about imposing beliefs held by some people on all members of the community concerning how people in the community ought to treat one another (the basis of laws and individuals' self-governance) as well as the structure and sanctioned functioning of the political process and the economy.
The alternative is to turn to material existence to find the commonality justice requires: "Can't Get Any Simpler" (a "2 min read" here in Medium, with links to more about this idea, none of it behind the paywall).
Just governance does require a democratic political process, and personal beliefs will always inform people's participation in that process, but in this context everyone would be impelled to recognize that their beliefs were just that--and nothing to anyone else. In all matters related to the community as a whole (which is the domain of the political process), all beliefs of all people would be equally subordinate to this ethic of justice: a requirement to respect the capacity of all people to choose for themselves whenever any choice is being effected.