That would be incredible... Even if the concept of inductive chargers were taken further.
But a central power unit that worked across all devices has some major issues. If you look at something like the "Duracell Instant USB Charger", there's a few batteries like it with usb now. Looking at something like that though, I question if it's possible to make a central, charge-one-unit, device that is actually convenient/functional and makes life easier. Even though the size is down, their annoying to use. Plugging devices into it during the day on a regular basis would be suck. Unless you make some sort of inductive pants lol.
Charge one unit, and all the other units can pull energy from it.
Maybe there is a need for a micro-form factor rechargeable battery that can be put in electronic devices as a standard.