Funnily enough, while I did not wear a clown suit to school, I did wear a bright green cape. Not for any particular reason either. Perhaps it would be wise of me to make that effort to avoid being biased towards nonconformity. I wouldn't consider myself an iconoclast though, although now that I think about it, my goal of combatting aging with the idea of living forever has earned me many criticisms. 
I suppose I just haven't thought to measure how lonely my beliefs are.
That said, there are also the beliefs I keep to myself in the name of conformity, so I've come to the conclusion that humans are complicated.