Ok, I already did... first, you live in Georgia, it's spelled muscadIne, and Round-Up is your friend. Either that or plant kudzu or wisteria (translation- throw a seed as far as you can and RUN) and let them fight it out for dominance. Since you want to replace it with bamboo, which wouldn't stand a chance of competing, very carefully spray the leaves of the vines with Round-up on the morning of a hot day well before the thunderstorms arrive. You shouldn't have to do this more than twice.
boy, that's gonna be a helluvalotta RoundUp...