You’re right, but the people who promote identitarianism tend to be neoliberals. David Harvey noted that in his book on neoliberalism:
“Neoliberal rhetoric, with its foundational emphasis upon individual freedoms, has the power to split off libertarianism, identity politics, multi-culturalism, and eventually narcissistic consumerism from the social forces ranged in pursuit of social justice through the conquest of state power. It has long proved extremely difficult within the US left, for example, to forge the collective discipline required for political action to achieve social justice without offending the desire of political actors for individual freedom and for full recognition and expression of particular identities. Neoliberalism did not create these distinctions, but it could easily exploit, if not foment, them.”