Do you separate the art from the artists? If no, are you strict about it or do you cherry-pick?

If supporting the art, supports the artist, who actively supports a bad cause, I do not. JKR and anything that furthers the anti-trans movement can go screw. If someone co-opts something, then it's trickier, but I expect the original artist to help when they can and support them directly, like Marvel's Punisher.