Calling the patriarchy by its full name really shows how systematic it is and removes some of the lowest hanging critics right away.

Absolutely, and it forces you to think about the subtler, more insidious ways it manifests in daily life. Unfortunately in my experience if someone rejects the term or concept of "patriarchy", chances are good that they'll also reject the qualifiers that hooks adds to her definition. You call it white-supremacist and they say "but but but affirmative action!" (and usually they're opposed to AA because they say that the REAL racism) or, "but but we had a black president!" So the fully describing the problem kind of selects for people who genuinely who want to learn and understand the complexities of modern western society, similar to how hosting an optional book club self-selects for people interested in growing and educate themselves. It's such a struggle to get people to understand or even try to engage with intersectionalism.

If you can get someone to read these two paragraphs only or all of chapter 2 it would be a major eye opener for some people

I've been considering posting excerpts of the book in other comms where relevant to expose users who aren't in the book club to the ideas within. I know the people who really need to read this book the most are not going to and generally have no interest in learning or growing as people and that makes me so sad, but there are things I can do (and we all can do) to spread the good word around so to speak.