In any deal like that hunkering down in one place will be a death sentence. Mobility is everything. And, given that, a lot of their high tech toys are not going to be of any use. Like old Albert Einstein quote "I do not know how the third world war will be fought, but I can tell you what they will use in the fourth... rocks." So, who throws the best rock? And real basic, who is better at hand to hand combat?
Moreover, I would think that in any deal of social breakdown things like unit cohesion (the most basic standard combat effectiveness), the ability to move as a unit, to respond as a unit, command and control and the like would carry the day. Ever try to organize intellectuals? You see the problem there. Also there is a huge skill set deal, as physics is of less use than basic mechanics. Bankers are of less use than a person who can fix the water pump.
But what is most likely going to happen is Industrial Collapse. That is the fake system, propped up on an energy source that is rapidly being used up, with no replacement in sight. So, those that are the best at getting by with the least - those who have been walking not driving, those who garden rather than shop, those who do not need industrial process drugs to stay alive and those who can work as part of a small group are going to do the best.
