Similar, familiar, comfortable look and feel across platforms.
The same fundamental data, applications, and generic controls at our disposal despite the medium.
A phone that can plug into a dock, and signal "dock mode" where it accepts slightly different control inputs by way of keyboard & mouse, displays on an external monitor, and possibly offers additional functionality now that it's plugged into a power source - unlock cores, activate dedicated GPU inside the unit, etc.
I believe Microsoft was operating on a similar notion in Windows 8. The way I see it, as your use case changes, the OS would adapt, capabilities change (IOS turns into Snow Leopard when docked).
Oh, I guess when I said "we", I meant "me".