The mighty mouse does not have a trackball. It runs on laser. Also, the wireless one connects using bluetooth and is a better bet for the AIR than the USB one.
The mighty mouse works very well, and has not given me any problems although it is quite delicate (I have broken 1) and it could use a redesign like the keyboard. Also, when it starts to lag or be unresponsive it is the Batteries and not he mouse. swap them out and you're good.