Assume a white guy voluntarily takes a job working in a wig shop that only sells black women's hair care products. He's going to be uncomfortable at some point. Does he have a right to not be uncomfortable? Should the company culture change, should they stop selling wigs and ditch their customers until he becomes comfortable?

No. The easiest solution is he should work elsewhere. He took the job knowing exactly what was involved. So no, you are not entitled to not be culturally uncomfortable.

You listed a bunch of things which should be, an opinion, he says your not entitled to those things, a probable fact relevant to the likelihood of attaining your professed desires, and he then offers a solution if you are unhappy with not having the things you professed 'should' be afforded.