Kudzu is bad stuff. Reason why RoundUp is poor on it is that it is a woody legume. You need Escort, Tordon or Transline if the target weed is a woody legume. Garlon or Banvel might help. In areas of mixed grass, vines and weed trees, I go after the vines and weed trees leaving the grass to minimize erosion. This is what you are supposed to know if you are VM/ROW/Industrial certified.
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Benjamin Franklin 1775
Sell not virtue to purchase wealth, nor Liberty to purchase power.
Benjamin Franklin Poor Richard's Almanac1738