What would cause a O2 to stay heated after the car is turned off ( like hours after, the D.P. will be cool and the O2 will feel like fire )? the car has a classic fast (Bank to Bank). The battery is dead within 2 days.
You got some serious issues going on. The sensor is powered from the box. The box is powered from the igntion, Check to see if you have power on the box with the key off, if you do something is miswired or your igntion switch went bad.