Black culture isn't a thing, either. What, you think all people have the same traditions and customs because they have a common skin color? What idiocy. What frivolity. What (inadvertent?) racism.
Being overly attentive to race is not an embracing of their culture. It is a fallacy, a misunderstanding of how the world works under the lens of this Western postmodernist narrative that people as an entire superficial group are responsible for misdeeds of their ancestors, whom they share no relation to whatsoever beyond their whiteness.
You're not embracing culture. You are erasing culture with your narrow, Western-centric guilt narrative where everything works in binaries. That being black dictates a common culture, and that Irish people have no culture, because they're white.
You sound like a racial nationalist.