Every part of the Kudzu plant is usable for one thing or another. Some parts are edible (leaves, tips of vine, roots). You can dry the Kudzu leaves and make tea. If you're crafty you can make baskets using the Kudzu vines. Oh, and you can make jelly from the flowers...pretty in pink.
Or you can spray the heck out of it and wipe it off the face of the earth. Your choice.