@thendrix The fragrance of Kudzu flowers is really lovely. A flamethrower won't work as well as suspected. It comes back without anything else competing with it for nutrients and sunlight. I think the best way to get rid of it is to eat it or black mat the area and add a few inches of topsoil.
The world: we can't grow food. Kudzu: takes over the south better than the Federalist invaders. I believe it is edible too. I don't recall it having any poisons in it. I think the leaves are edible but I'm not an expert. Spraying it with blue Kool aid made from crystals will get rid of it. If purchasing the blue crystals is not wise, copper and Epson salts should make the solution in an electrolytic cell.
As with everything in the South, no just means find or develop another way.