Yes it should work for ya.

I know that with my Airtronics tx/rx, it isn't specifically binding the channel/ model # on the transmitter with a specific receiver, it is just binding the receiver to the transmitter in general. therefore, this allows you to use the receiver with multiple cars, and as you suggested, just create a channel on the transmitter for each car. Just make sure you only have one vehicle turned on at a time otherwise you will be driving more than one vehicle (i've done that before!!)