Look at white supremacy: yes, it's bigoted against various groups not considered white, but it overlaps heavily with misogyny, homophobia, and other non-racial forms of bigotry.
This is not surprising if you realize that the bigotry is the common factor. Once you're a bigot, who you're bigoted against is contingent.
If you look at the shitshow after the primaries that chose Obama, you can see that plenty of Democrats showed bigotry against women and against Black folks (and, often, both: witness the current treatment of Harris).