Is my door locking messed up?

I've always had to lock my '65 doors using a key because it is the only way I can. This is the way the car was when I bought it. Aren't you supposed to be able to also lock the car by pushing the door lock down then closing the door while depressing the thumb button on the door handle?
 
I was thinking "Ya mean all this time, all I had to do was hold the button in!!??"

Almost everyone who gets out on the passenger side tries to lock the door like that, and I have to stop them before they do damage.

But my electric lock project is starting soon and will finally tied into the Alarm for Keyless entry. :nice: