Weeds are a conundrum for most people. But as I walk around in my yard, I find plants that are edible, beautiful and useful. But I totally get how you feel. I work on removing the non-native stuff, for now. And I have a particularly nasty one: Lesser Celandine. Then, there's dead nettle, from Europe and Asia, and jewelweed, which is native to the northeast, but it goes crazy. I keep a hedge of it for the hummingbirds and pollinators, but remove the rest.

Image: Ohio State University.

But this is off the topic. If you have only native "weeds", (as I understand that book), your garden should be able to thrive among them if you prepare the field as the author explained, with minimal work, no tilling, just mulching with straw and cover crops. It's the idea of co-habitation, I guess. The book has a spiritual element, (not religion), more like oneness with everything, and working together.