Drug-induced psychedelic experiences are certainly not the only path to self-reflection and developing deeper self-awareness (in fact, for some people, they may not have that effect at all). You're ok to pass on the peyote if you don't feel it would be beneficial.

Edit: I will say, though, that I think everyone should set trials to better understand themselves and push at their perceived limits and baselines. Drug-induced psychedelic experiences can be pretty accessible trials in this sense, again for some. Ain't the only way, though.