Hate to break it to you, but your dog probably has a better chance of making it through a total societal collapse than you do. A quick Internet search of "dog survives" lists everything from drowning to being shot, from bear attacks to war -- whereas the closest you've ever come to "surviving disaster" is getting your wisdom teeth pulled, and even then it was only with the help of a cadre of trained medical professionals and a carton of the strongest painkillers on Earth.
The 5-in-1 paracord bracelet slips on with ease and stays fashionably in the background until or unless the situation on the ground takes a turn for the worse. That’s when they spring into action. Should you need to get a fire going in a hurry there’s the fire starter kit comprised of flint and scraper. While you’re warming up by the fire take the lay of the land with the mini compass. There’s also what must be the world’s most compact emergency knife and should you need it a powerful emergency whistle that will project up to 100 decibels of life saving sound. Essential survival gear especially if you have the kids with you.
Individual survivalist preparedness and survivalist groups and forums—both formal and informal—are popular worldwide, most visibly in Australia,[91][92] Austria,[93] Belgium, Canada,[94] Spain,[95] France,[96][97] Germany[98] (often organized under the guise of "adventuresport" clubs),[99] Italy,[100] Netherlands,[101] Russia,[102] Sweden,[103][104][105] Switzerland,[106] the United Kingdom,[107] and the United States.[22]
These individuals study End Times prophecy and believe that one of various scenarios might occur in their lifetime. While some Christians (and even people of other religions) believe that the Rapture will follow a period of Tribulation, others believe that the Rapture is imminent and will precede the Tribulation ("Pre-Trib Rapture"). There is a wide range of beliefs and attitudes in this group. They run the gamut from pacifist to armed camp, and from having no food stockpiles (leaving their sustenance up to God's providence) to storing decades' worth of food.
Another wave of survivalism began after the September 11, 2001, attacks and subsequent bombings in Bali, Madrid, and London. This resurgence of interest in survivalism appears to be as strong as the 1970s era focus on the topic. The fear of war, avian influenza, energy shortages, environmental disasters, and global climate change, coupled with economic uncertainty and the apparent vulnerability of humanity after the 2004 Indian Ocean earthquake and tsunami and Hurricane Katrina, have increased interest in survivalism topics.[19]
Each type you listed (save a couple) will have its uses in a community (group if you will), generally having a small trusted group with each having several skills in the various fields (prepper, homesteader, and survivalist) I believe would be an effective team, though as each group works together would it not be best to ensure that each has overlapping skills in case of injury, death, or other reasoning they can not fulfill their duties?

Tools may include cutting tools such as saws, axes and hatchets; mechanical advantage aids such as a pry bar or wrecking bar, ropes, pulleys, or a 'come-a-long" hand-operated winch; construction tools such as pliers, chisels, a hammer, screwdrivers, a hand-operated twist drill, vise grip pliers, glue, nails, nuts, bolts, and screws; mechanical repair tools such as an arc welder, an oxy-acetylene torch, a propane torch with a spark lighter, a solder iron and flux, wrench set, a nut driver, a tap and die set, a socket set, and a fire extinguisher. As well, some survivalists bring barterable items such as fishing line, liquid soap, insect repellent, light bulbs, can openers, extra fuels, motor oil, and ammunition.
Another concern when you’re lost in the wild is where to procure potable water. Sometimes there will be bubbling streams of crystal clear water rolling down wooded hillsides to fill your water bottle and sometimes you’ll have little more than a stagnant pool standing between you and dehydration. The LifeStraw Personal Water Filter is survival gear that can turn that stagnant pool into a lifesaver.