Being black, but not a woman, it's difficult for me to validate the premise that people aren't as much in arms about "women's issues" as they are about "racial issues."

However, while tribalism is definitely a thing, women are generally seen as being included in the tribe. Perhaps that's why you see it as being less contentious.

I'll also point out that this "the difference in societal treatment, amassed wealth and political power that flows along racial and socioeconomic lines" is exactly what results from the power of the identifier.