The first thought I had when hearing "plant with oak-shaped leaves growing in Georgia" is Oakleaf hydrangea. But, although it's hard to tell from the picture, those leaves don't look right (hydrangea leaves would be serrated and white on the underside). And of course hydrangea is not a vine.
My best guess, could be way off, is Japanese honeysuckle. It's invasive, grows all over the place in the south, and sometimes has oak-shaped leaves. Here's a picture that somewhat resembles your vine: http://www.duke.edu/~cwcook/trees/loja40264.jpg
Could that be it?