Brake Light Switch problems of the 2005 Ford Crown Victoria

Rear brake lights with light to moderate braking when starting to push brake pedal the rear lights come on. When you reach a point that you ease up on the pedal pressure, (even so slight that you don't feel the pedal move), the brake lights go off. The vehicle is actually still braking. If you proceed to apply pressure again the brake lights come back on and once again as soon as you ease up on pedal pressure the lights go off. I found myself sitting at stop signs, red lights, even in the middle of the road waiting to turn left with my foot on the brake, but no rear brake lights on. A new brake light switch was installed with no change. I checked a one year newer vehicle, same make and model, and it was doing the same thing. I called a local Ford dealer and he never heard of the problem. He checked with one of their similar vehicles on the lot and discovered the same problem. He called a factory rep who knew nothing of the problem. That's all the further it went.