Damaging the plants doesn't concern me at all. Their niche is upheval and collapse, so not many of such plants will have a space in the garden in the end (my intent is 0). There is abundant habitat for them elsewhere in Oakland, so I don't feel bad removing them.
It would be nice if I could give a few plants access to the soil under the pavement during the time I am gardening there. The garden is planned to be temporary, but that might mean several years. While I have access, there is no budget to have anything done with heavy equipment, or even to rent that equipment and do it myself.
I don't have a big axe, but I do have a small tree.

"the qualities of these bacteria, like the heat of the sun, electricity, or the qualities of metals, are part of the storehouse of knowledge of all men. They are manifestations of the laws of nature, free to all men and reserved exclusively to none." SCOTUS, Funk Bros. Seed Co. v. Kale Inoculant Co.