I just opened up some of my trails and made some new cut-ins last weekend with a brush hog. I'm an amature to deer habitat, but if you think it would help the deer movement to where it benefits their bedding, eating, and drinking, then I think it would be a good thing. Just keep in mind what's good for a human isn't always the case for deer.
On that note, I had an uncle who would chop down trees in the front of a 20 acre wood lot and deer would still pass through WHILE he was doing it. It's hard to hear in the woods, especially if it's overgrown like you said it is.