So, let's clarify something first: unless you are an enrolled member of a recognized tribe with a treaty with the U.S. federal government, you don't have a "right" to hunt or fish. Tribal members' rights, as you may or may not know, were only recognized after a long legal struggle. I don't know whether you are a tribal member or not, but I'm gonna guess not. So that would mean you have a "privilege" to hunt/fish - that's why you have to get a license and pay for tags or whatever. I think it's important to have clarity of language when talking about these issues; plus it's going to be Thanksgiving soon and I'm usually thinking a little bit about the history of Indian / U.S. government relations this time of year.
If that's riled you up, chill - cause National Conservation areas are set aside to conserve (save) land for hunting and fishing and other recreation, now and in the future. You might face more restrictions in what and when you can hunt or fish, because I think the land will be more actively managed to conserve the flora and fauna, and you might have to pay an extra access fee to the feds. Here's Salazar's press release about this proposal (with links if you want more info) - you'll notice he specifically lists hunters and fishers as interested parties.
I'm not sure if there are any federal lands where hunting/fishing is completely restricted, but some national wildlife refuges have more restrictions to protect endangered species. I should know, since I'm from Alaska and this is a huge issue there, but I'm more of an urban Seattle-ite now.
I think we need both completely protected areas and managed areas where people are permitted to fish/hunt/gather within limits. I hear what you're saying about sustainably harvesting wild resources, but there are just too many people on the planet - you're one of 7 billion, and you're part of a history of environmental exploitation by our species whether you acknowlege it or not. People have a shitty history when it comes to respecting wild areas, so I think it's wiser to manage what we have before habitats completely collapse.
You might want to check out an organization like Washington Wildlife Federation - they work with governments to help conserve land for hunters, fishers, and people who just like to hike around wilderness areas. Groups like that usually have good perspectives on federal proposals like this.
Now I'm going to try to not daydream about wild Alaska blueberries the rest of the day.