Humanity Protection Front
Or
Humanity Preservation Front
Might be more fitting names that keep same tag and seem more straightforward without triggering people - don't see it as being forced to change your identity, but as an opportunity - e.g. when I started 1st the old name triggered some people so we renamed to the First Armada, and now it's the coolest most active Liberty Lawful faction without any contest with a distinct name people came to love that's part of its identity.
When I read "purity front" I wasn't triggered like others, but it didn't strike me as the faction being what your info says - Preservation or protection seem more fitting , will make propaganda etc. Where you hate cyborgization etc. Show you as the "good guys" you can then attach borderline irrational methods to.
