> It seems to me there are two types of conservatism: concern about a change to society that does not have a clear evidential basis (which I'll call "small-c conservatism"), and a desire for other people to not have nice things (which I'll call "capital-C Conservatism").
False dichotomy [0]. Basically a bunch of sophistry to say "all conservatism is bad."
> the existence of trans people "erases differences" (Galatians 3:28),
You can't just quote the Bible without providing a translation, and I can find no translation with this wording. I would suggest that you refrain from commenting upon other cultures that you are ignorant of, as this is a form of cultural appropriation at best, and active bigotry at worst.
Same with your supposed "quotations" of Genesis 2.
> Capital-C Conservatism is about denying resources and happiness to perceived enemies,
Apply principle of charity [1].
> [...] while harming them as much as you can rationalise while still calling yourself a good person.
> Many "progressives" are actually capital-C Conservative, with a different – but no less harmful – idealised-state-of-nature: many modern-day eugenicists work in autism "charities", promoting "progressive" torture "therapies".)
On this we can agree - I don't actually see much difference between progressives and conservatives; they all fall prey to religious and superstitious thinking. All this self-aggrandizement about how diverse and inclusive one is, all the moralizing and ethical high-horsing, is really just a series of magic incantations the progressive chants to themselves to "psychologically manage the results of living in a materially deeply unequal society," [2] without actually needing to do anything about the material reality. Not so different from the way the sinner takes a dunk in a bathtub of water and is now "born again, free from sin," doesn't take the Lord's name in vain, uses gender-neutral pronouns, and wears a crucifix or a Pride flag - take your pick of religious idol.
[0] https://en.wikipedia.org/wiki/False_dilemma
[1] https://en.wikipedia.org/wiki/Principle_of_charity
[2] Liam Kofi Bright, "White Psychodrama." https://philpapers.org/archive/BRIWP.pdf