It is normal for both mirrors to click, what you here is the solonoid locking the mirror for up/down movement. Vw didn't bother running a seperate wire either side for the solonoid so they share the same feed, clever eh

It sounds to me like the wiring to the motor is damaged, or the motor itself is dead. If you remove the 4 screws holding the motor in place you can check all the plugs are in ok, and clean up the connections.
1st thing I'd do is swap the working mirror to the broken door, and see if that helps. If it works you know the motor is shafted, if it doesn't you know its the switch or wiring!
Edit: The motors are identical on most Passats, and the Corrado. The switch on a Passat/Corrado will also work, it just looks a little different is all.
I suspect also they are the same on some bimmers as well, they look pretty similar on several that I have seen in my scrappy.