We can say both forms of generalizations are wrong. Two wrongs don't make a right. It almost sounds like you want to weaponize these terms to get some sort of retributive justice here.

What is your goal at the end of the day?

My goal is to bring light to and fix the issues that black people, women, and other minorities face, and having more allies that support fixing those issues would help a lot. I don't see how overusing terms like "white privilege" gets us to that goal. It just alienates the other side, potentially pushing them further to the right and even radicalizing them. We can talk about these issues without shitting on white people or males, and that would be a more effective forward.