It is very confusing the way you presented it. If all you need is to lengthen the time that the 12 volt signal from the light system of the car stays on for the M1, you can try an RC circuit. CHeck out www.the12volt.vom
Also, doesn't the M1 have ABCD jumpers. They determine the timing for shutdown. You can make it 30 seconds before it sends the shutdown signal, that, with the cars 20 seconds or so gives you almost a minute to get in the car and start it up.