I spoke to an arborist about my trees and he told me that trees are healthier when they have air circulating around them. He said people dont like to cut down trees but if they are to crowded it actually is detrimental to them.They become weaker and are susceptible to diease.
So my suggestion would be to thin out the trees. The kudzu wont be able to go from one to another so easily. Also If you cut the vine at the bottom, the top growing on trees etc, should die. maybe some kind of Weed killer around the bottom would be benefical. Im not big on weed killer but kudzu is a major invasive.
Good luck.

Thanks for the feedback!

I am working very hard to not remove any trees from my property. The property was developed as the home for the designer of Rock City, but the owners of the largest piece only visit a few times a year. I have been cutting the vines off the trees with great results, but then spring hit. Those vines grow over 6 feet a week now. A friend has a plant that competes with Kudzu, but she is not sure of the name.

maybe an arborist would be the way to go, to get his/her opinion. An arborist would be able to tell you the condition of the trees from the stress of the kudzu.
Im not sure another competing plant is the answer unless its native and wont damage the enviroment.

Is this something that an environmental engenieering firm could do? My sister works for ch2m hill, and they will be sending a team up here to help me stop the new runoff created by a new development right on top of my house.

What does it take to start an invasive plant program?

Is a local college a more appropriate place to source an Arborist?

You could try the college but the phone book would probabaly do. Most tree services should have an arborist.You could also contact the local enviromental/conservation center, they should be able to direct you to someone. They may even have someone on staff.

Hmmm... I will talk with some locals to see who they use. I am lucky to have a private college 1 mile away, and to be surrounded by national park. Those two could provide great resources.

My gosh if you have national forest someone around there should be able to give you advice. We have the enviromental & conservation centers which work with the national forest and state game lands.
Never hurts to ask, I would ask anyone that will answer. I would also google it for my area, there might be some sort of task force like an invasive species group that can help.