what do you mean by "exists"? They don't exist as a solid physical object. They exist more like a gust of wind, which moves all the leaves in the same direction and that's all we see. You can't "prove" that they exist, you can only postulate them as theories that explain why we see a whole collection of physical data that we can see. Your proof might be considered good if it coherently explains a large amount of the data, and makes predictions that come true. But you certainly can't "prove" that they "exist" to the same level of proof that an atheist will demand for the existence of God.
Patriarchy and institutional racism are even ascribed agency, they "want" to hurt people, rather than merely being general forces such as gravity or a fluid flow.