Your post presupposes that only an alienated, individualistic outlook on life is correct, and that any penchant to categorize groups together and examine the contradictions between them as relating to power and status is flawed. This is typically argued by idealists of capitalism, who dislike any sort of collectivism because it tends to threaten the power of capitalists, as based on the individual level (e.g. the individual wealth of CEOs). Are you one of them?
To think that every individual is unique and cannot be placed into a distinct category according to factors outside of their control is cultural narcissism. This sort of philosophy is actually what's foundational to the views of liberal "special snowflakes" (not to mention the wageslave ethic of conservatives). Because while liberals understand people as belonging to groups, these groups are actually not rigidly defined and not conceived of as being based on strong collective foundations, as per the concept of "intersectionalism," and thus you get ideas such as the hijab being a symbol of female agency.