I personally felt the same paradoxical situation during the summer of 2005 when I was in Jerusalem for a conference. Emotions and demonstrative actions concerning the planned pullout from Gaza were voiced and present everywhere, with more and more fanatic opposition quite clearly associated with the 'religious' population. Atttending sessions relating to religious texts I would ordinarily wear my kippah, and yet I felt that wearing a kippah identified me with a frightening and extremist political stand.
Clinton: U.S. must "make clear" to Putin that Russia cannot be creating chaos in Syria (Reuters)
from the article: Wearing my kippah for Rabin