Currently bouncing back and forth between houses in southern Illinois, helping out the family since my brother had his baby, gonna start a wild garden in my mother-in-law's backyard. I'm not for removing invasive species though. They've been here awhile, they fill a niche now, and there simply is no eliminating them all without damaging the ecosystem they've become a part of. Nature is ever-changing; what was native back in the old days simply isn't now, and there's no returning back to that state. Every native species may have been "invasive" at first.
I believe in dropping some seeds and letting natural selection take its course. She knows what she's doing more than we do, and a natural system will tend toward balance. The only invasive species is humanity. As far as planting back goes, the most I do is remove manmade litter from the wilder parts in town, perhaps helping to spread the seeds of nearby plants. "Native" or "invasive". It isn't up to me to decide who dies, and certain plants wouldn't live together if they weren't meant to. My "garden" is simply a plot of land guarded from the mower for plants to grow free and wild.
Of course I will have a "proper" garden when we get back out to the Ozarks, not in neat little rows or anything but given a lot more aid to survive. Exotics like tomatoes, potatoes, peppers, cucumbers, watermelons, certain grains and pulses....At least until/unless I can find adequate local substitutes for the crops I've been spoiled on. Grains could be replaced by other grasses, but I can't find any edible legumes nearby besides clover. Love to find some honey locust nearby. Tomatoes, chili peppers, and bell peppers are the hardest to find good substitutes, and I want my damn spaghetti sauce. I'd love to garden as little as possible because it's kinda mean to grow people just to eat.
But right now I'm not even concerned with foraging. I have a little trail snack every now and then, but I always leave more than I take. Gotta just let things grow and move all this human trash out of the way. There's plenty of wild flora to feed my little family, but not nearly enough for any kind of ecosystem. This is a poor dirty decrepit mill town. Signs and rumors of coyotes and deer off the bike trail though; I haven't seen any yet, but I don't doubt it. So my main goal right now is just helping to spread as much foliage as I can.