Banach-Tarski Paradox
*Banned*
I go for neither, an extremist to me is one that either does do or intends to do demonstrable harm on the basis of their religious beliefs.
If one's religious tenets were entirely peaceful it would seem to me an oxymoron to call them a religious extremist just because they followed their tenets to the letter in my view.
Religious tenants like welcoming the stranger.