OK. I think we're getting somewhere
Originally Posted by BlackIce
The unit will have a tendency to try and start itself when reconnected to power
This would also apply to the ground. I know you said that you double checked all the wiring but with two different modules doing the same thing, it really points to it. Maybe relocate the ground to a different chassis point. Where did you get the main power from? Ignition switch harness or battery? Maybe try to duplicate the problem by manipulating the harness where it plugs into the module (faulty connection to module).
Going a bit deeper into the troubleshooting you could also measure voltage with a multimeter. Between the +12v and ground, right at the module, with the door opened and closed (door switch is in the latch. Just engage the latch with a screwdriver or something). Ensure that the voltage is the same as the reading at the battery.