I disagree that there would be chaos. For property to be owned, you have to be able to use it for something to show that you own it. What good would it do me to own the sewer system if I had no idea how to put it to beneficial (ie, profitable) use? What good would it do me to claim ownership of a road that I have no idea how to maintain? Just because someone uses electricity doesn’t mean they know how to install a transformer or set up a pole. Unless they were a communist, why would they claim ownership or partial ownership of it just because they use it? And lets say they are a communist, if they can’t use the equipment, build the lines, power the homes, than the property is still unowned. Without a central controlling body (which from your posts I think you are in favor of) you could go out into what is now a national forrest and build a home. That is obviously your home. But if you go out an put a fence around some section of land and than go back home, you don’t own that land, you own that fence. Someone that can put that land to use will be able to show they are the owners. There is no difference between that and any other “public” property. You can claim that you own the road, but if your not exercising control of it, you have no claim to it.
Two things would happen if the government disappeared, IMO. First the private companies that do the contract work for the state will claim ownership over the areas they take care of already. Second, in the case of totally government areas, the workers that are doing the work now will claim ownership over whatever it is they currently doing. If they do a good job, nothing will change. If they do a shitty job, the market will replace them.