We have kudzu. It's definitely invasive. My dad said my great-grandfather or great-uncle or someone back then brought it here from somewheres else and planted it to control erosion. I don't know that it even does a good job of that, as it climbs trees and covers them, while the gullies below just wash on out. The patch at my dad's probably covers a couple of acres, and in the last five years, it has somehow crossed the road and started toward my yard. To grow as fast as it does, it has advanced rather slowly as a whole. All around the chicken pen, you can see where they keep it browsed back. I've thought of moving the goats over to it in the fall. If there were a market for kudzu, privet hedge and sweet gum, we'd be RICH!
My daughters have actually cooked and tasted kudzu after reading that it's edible. We certainly won't starve, I reckon.