One problem related to brake sensor has been reported for the 1996 Dodge Neon. The most recently reported issues are listed below.
Brakes: when driving and attempting to stop the car, the brakes will not slow the car down. For a split second, brakes make a humming noise and then they catch. They are okay for a while. Dealer says the anti-lock brake sensors are bad. Car has been in five times for brake sensors.