Culturally, the West will collapse. Technologically everyone will, too much inter-dependence, no one comes close to self-sufficiency and too much knowledge of how to run things in an early-industrial setting have been lost to the information age. Yes, books do exist that lay out the process of survival from stone-age up to early industrial, but it's a far cry from how things were a hundred years ago, where basically every adult had some mechanical/agricultural/crafting skills That level of chaos might take down some other civilizations as well.
I'd bet more on a new, not currently existing, civilization rebuilding than any of the ones that exist at the moment. There is a model of civilizations as living organisms, with life cycles. The current West is the youngest civilization in the world, and is going through the maturation phase where it will crystalize into a more permanent state (nothing says that civilizations survive points of transition). According to this model, all the other existing civilizations are already crystalized and so don't have the impetus to take over. They would have to form a new civilization, with a new vitality in order to do that.
I have to ask, what kind of place do you live in?
Because here in the US, there are a
lot of people who could rebuild civilization from scratch.
Even ruling out the people who get 3d printers capable of making things like simple circuit boards, as well as lathes, CnC machines, etc, for the explicit purpose of being able to rebuild if things go to crap, every adult engineer I've known could rebuild a mid-20th industrial base with a starting point of a single lathe.
Such lathes aren't particularly hard to find, either. If your town has a generalized machine shop, a university with an engineering department, or even just a dedicated hobbyist, it'll have such a lathe. Gas-powered generators aren't exactly rare either, and making parts for a simple wood-fired turbine for electricity that can run your core 'rebuild the industrial base' machinery isn't that complex.
Heck, my own father has a history specifically working in
machine design.
Further, a lot of the things you need to rebuild are some of the easiest 'scrap' to find. Cars for steel and aluminum, parts of cars, houses, and power lines for wiring. A lot of legacy equipment will work as soon as you have electricity for it; I have two different laptops from the
90's just sitting around because they still work so I don't see any reason to throw them out.
On top of all this, the sorts of people who tend to be this resourceful, experienced, and well-educated, tend to both be more conservative, as well as be armed and ready to fight to rebuild civilization.
Finally, the more 3D-printing spreads as an affordable hobby, the easier and easier rebuilding will be. Even if most people just go for the simple plastic/resin printers, more serious machines that can work with metals and circuits are also coming down in price and increasing in proliferation.