I think your argument makes sense. It fits well with my experiences with "MAGAers" and "SJWs". I also think this style of politics is here to stay, as it is the dominate strategy. America has a fracturing hegemony: there is no longer a single universally shared set of basic beliefs. Because we no longer share the same basic beliefs, disagreements are now less likely to be due to logical validity and more likely due to unshared premises. This means the way of politics I think we'd all prefer, of arguing logically from shared core beliefs, will be less useful, making the alternative, arguing emotionally about premises, more effective. I think people "come[ing] across by chance doctrine which appeal to a special part of themself, be it religious, political, or social doctrine" is this effect in action.
Though, some criticisms of what you said:
1. It can depend on surroundings. A leftoid will rightly feel like an independent mind in a conservative area and a rightoid will rightly feel like an independent mind in a liberal area.
2. Your logic can misidentify skeptics as traditionalists. It is easy to misconstrue a progressively minded skeptic as a conservative because they criticize most currently popular progressive issues.
On a personal note: as a progressively minded skeptic, in my experiences with society, coworkers, friends, significant others, and family, I feel I have increasingly been lumped in as a "deplorable conservative." I have felt this cultural shift coming for many years now, when "SJWs" (I know this hits a sour note with many liberals, but I don't know how else to succinctly categorize these people) first started cropping up in the spaces I frequented:
0. The removal of Christmas celebration from my elementary school
1. Atheism+
2. My school's official hackathon group (was taken over by left leaning people who said you cannot form teams based on peoples' programming ability)
3. My school's official programming FB group banning "spicy" posts (an example being one where people were arguing failing fizzbuzz is an acceptable way to decide someone is not a programmer)
4. My school via the coed programming fraternity- it was a place full of people involved in 2 and 3
5. The wider programming community (donglegate, stallman's cancellation, linus and sarah sharp controversy, github and meritocracy, redis CoC controversy, etc)
6. Gamergate (specifically attempts to politically pressure games to alter their stories and design to suit audiences that aren't the typical customer).
7. Politics that are safely expressable at work without having a meet 'n greet with HR. Very, very far left ideas are routinely plastered at work, and political "courageous conversations" meetings expect exclusively uncourageous mainstream ideas.
8. Politics that are safely expressable with acquaintances, friends, and family without risk of being excommunicated.
9. For brevity, I exclude many others.
Thankfully, the latest batch of ideas (abolish police, abolish suburbs, abolish capital gains) have such a large impact that it has finally given me a hill worth dying on, and I feel free to non-anonymously express, with all the snark of a twitter checkmark, that these ideas blow ass. If that skepticism makes me an oppressor, then I embrace being one. I suppose I do deserve some credit for not being silent, since that would be violence.