My wife has a 2002 Civic. Does your Civic have the radio or cassette player on top with the CD player as a separate unit under it? If so, there's no way to keep the cd player without keeping the factory head unit as well, since it's just a slave device to the factory head unit.

You could install the RioCar and keep those two in the dash, but I don't know where you'd put it. Alternatively, you could take out the CD player, and with a little work, install the RioCar underneath the factory head unit. You'd still have whatever functions the factory head unit provides (radio or tape or whatever), but no CD. If you really needed CD (you don't), you could run a line from the AUX input of the RioCar to a portable CD player.