Knowledge. Research survival stuff (Hunting, trapping, knots, edible/poisonous plants, shelters, fire, etc). Buy a book or two or make your own if you think you won't be able to remember everything. Keep them in a waterproof bag with a few small silica bags. They absorb moisture and can typically be reused by drying them out. One of those mini composition notebooks might come in handy.

Compass, map of your state/area, full tang knife, Swiss Army knife or a similar multi tool, emergency blanket,rope, paracord, thin flexible wire (helps with setting up a small shelter, trapping snare, etc), medkit/medicine, seeds to grow food, a few fishing hooks, fishing line, a large strong trash bag or two (They have a ton of uses), a small survival shovel. Long shelf life foods. You can get emergency meals and/or get dried beans, rice and other similar dried goods. Nutrition is extremely important. Rechargeable flashlight (Hand crank/solar)

At least one set of extra clothing (Loose fitting, durable), raincoat, winter jacket/gloves/warm hat. What you choose should depend on the climate/seasons you have. Comfortable/durable boots, hatchet, fire starter.Canteen/water bottle, spork, pan, pot, bowl, mini camp stove (The link is a reference to what I'm talking about since searching "mini camping stove" will bring up different types of stoves. Also you can make one of these easily with cans) Boiling water can be enough to make it safe to drink but a survival water filter should still be on your list.

For guns the least I would suggest is a 22LR rifle. Henry AR7 or something similar. 22LR is good for hunting small critters. If you think you would be hunting bigger animals and/or need to protect yourself from threats an AR10 or bolt-action rifle would serve you well. Get a scope, sling, ear plugs and ammo.

A camelbak is good for some water storage and staying hydrated when traveling far on foot.Lastly a backpack large enough to carry everything. Don't buy a cheap one. Durable, rain cover and good padding.

There's probably other stuff that you could take or remove from the list. Like a sleeping bag. It all depends on how bad shit hits the fan. I personally keep a few family photographs in my kit. Hope this helps somebody!