Sharing a Thunderbolt Display between two computers (not at the same time)

Hi All,

We have a home office, and both my fiance and I work a considerable amount from home. We're typically not there at the same time, though. We've got a Thunderbolt display, and I typically use it the most, but I'm confused how we should best share the "setup." There is a bluetooth keyboard and magic trackpad on the desk, but how is this going to be shared between the two computers. How will the bluetooth devices know to pair only to the computer that is plugged into the cinema display and not to the computer in the room next door (we live in a relatively small apartment)? My sense is that there's no way for them to know this, obviously, and the only way to make a truly seamless experience would be to have a wireless adaptor pluggged into the back of the display and have the devices pair to that.... thoughts?