You are looking for a mountain of information, and when it comes to equipment, biases are very strong. Weight, functionality, quality all really come into play, but it all goes out the window without the experienced knowledge to use it.
Dont think what you want to bring, think what you need to bring.
Weight. What is easily carried an hour can be a nightmare after two. Then figure out how you are getting the animal out.
What can be shared? A tent can be split up between several people. Yup, you will be crowded, but the wt. and space in the pack could be the diff for an appropriate first aid kit, or spare socks.
Dont duplicate. Bring quality you can depend on. Bargain priced goods are for walmart and state parks.
You depend on your footwear. What is good for hunting in cold weather is highly unlikely to be close to appropriate for support and traction backpacking. Food. People balk at paying 10.00 for a dehydrated meal, but then spend the same daily for McDonalds.
Dont trust the water. Anywhere. Bring and use a good water filter/ purifier.
Dont depend on wood fires. They arent allowd many places, and are totally undependable and very poor for cooking. What if you are trapped in a tent for 2 days in a deluge? Invest in a quality backpacking stove, know how to use it, strip it, and repair it. And NEVER use it in your tent.
If you think you want to bring it because it is neat, leave it.
Practice on simple overnight trips, and practice with all your gear alot at home before leaving. Know cold how to use a map and compass, how to start fires with wet wood, (hypothermia is the biggest outdoor killer). Dont worry about a gps until you know how to use a compass oriented to a map. Get books out of the library on backpacking. Visit REI or Eastern Mountain Sports and tell them you are getting into the hobby.
Remember everything should fit inside your back pack, not strapped to the outside. Things loosen up and swing, and throw you off balance. rifles present a problem. You want to keep your hands free at all times. You are not hunting when your pack is on. Your hands must be free for balance and in case you slip and fall.
The book " Mountaineering" is a fantastic reference for all things specifically about mountain climbing, but it is probably the best reference last I knew about backpacking.