From reviewing the most recent discussion about what 'Christian reactionary' bloggers might call themselves,
my sense is that Orthosphere (coined by Kristor) seems (to my subjective judgement) have emerged as the 'winner'.
Plus the suggestion from Imnobody that it could be shortened to 'Ortho' as an adjective - as in
"ortho blogs, ortho people, ortho thought, ortho books. It is a new name, which is useful when you construct a new identity."
I didn't like the word Orthosphere at first - but just a few days have familiarised it, and it now seems quite natural.
I therefore propose that we go with Orthosphere.