Trees vs. vines

I've spent the summer focusing on the house and now am turning attention to the long neglected property.

I have lots of trees that are starting to get over run with vines. My thinking is once the leaves fall I will do what I can to remove the vines to help the trees. Is there any reason this is not a good idea? Any reason to keep the vines? Mostly wild grapes, I think. Location is south east Michigan.

from a permacultural perspective I would say keep the vines if these are truly grapes......free food......if they are not grapes then just hack them.

Many vines, including grapes, can get very aggressive.
Older (larger) trees can put up with a fair bit of vine growth.
If it is younger trees, the vines, left untended, can overcome the trees and kill them.

Perhaps, with some judicious pruning, you can teach them to get along together.
It's a hell of a lot cheaper, and easier than building trellising.