The first thing that would need to be done is to tell the Sierra Club and some of the other enviro-nazis to take a hike (pun intended). Their lawsuits and threats of lawsuits have done more to degrade wildlife management up there than anything. Go ahead and let them sue, and see how it plays out in court.
If you get a favorable court verdict, go back to the management plans of the seventies and eighties with large scale timber harvest to open up the forest canopy to provide more food for the deer and turkey.
Reclaim the farm fields that have been neglected so share croppers can begin farming again. The edge effect from those farming operations was important in the glory years.
Hire professionals whose full time job is hog eradication. Until the hogs are reduced a great deal, nothing is going to really help.
Hire some better wildlife managers to manage the area. Yes, their hands are currently tied by a number of factors, but, I don't think they have the experience level that was there in the good days. Hiring some hook and bullet folks instead of the non-consumptive crowd will help.
Get rid of the DEI system and hire some officers interested in doing wildlife law enforcement. It has been a few years since that was much of a priority (IMO).
And, long term, put the consumptive use of the area (hunting and fishing) equal to the non-consumptive priorities. Right now, the hikers and dicky bird watchers rule the place.