Against Kudzu, kleen up pro or any other glyphosate product simply will not work. It'll burn back some foliage, but the vine will laugh at it. What i would suggest, and it may still need a couple of shots, is some of that kleen-up pro at 3oz to gal of water and add .75 to 1 oz of trimec 992 or some other three-way product. Perhaps some surfactant as well, but i suspect the kleen-up pro already has this in it.
You could use the kleen up pro alone, but as another post suggested - you'd need to but the vines at ground level. Then as they return, you could then start hitting them with the kleen-up pro, and this should be somewhat effective for control.