The thing is, there's already a set of concepts that unpack this issue: it's called intersectionality. Intersectionality is the idea that we have overlapping sets of privilege. For example, while I might be a straight, heteronormative man, I'm also a dark-skinned POC who grew up poor. So while I benefit from not being singled out, harassed, or hurt for my choice of gender expression or who I date (somewhat, people often disapprove of interracial dating with darker folks, and it's come up a lot in my life) I can get treated badly due to how I look and the stereotypes around what people like me do. We all benefit from and are hurt by a combination of our privileges and the negative stereotypes surrounding us, and it helps define our experiences.

Intersectionality is complicated, but ingroups and outgroups are a lot more fun. Humans tend to be wired into finding tribes and a lot of people use social media to find their tribe and, regrettably, find outgroups to isolate from and criticize. An interesting manifestation of this is watching white LGBT spaces debate Islam. There's generally an obvious outgroup effect in those discussions and it definitely adds a temperature to the discussion that I think wouldn't be present if Islamic POCs were considered more part of those ingroups.