Need a little help here please.

The thick black wire better not go to the coil plus! That would make it impossible to shut off the car!And the entire run circuit would be live at all times.
The black wire from my alternator came off the + side coil when I looked at my saved pics before replacing .
I added a key on wire to the + side for the ecu only . Fires fine now
When running, and I turn the key off, it does stop running .
You made perfect sense in your helpful statement, but, it stops running when I turn the key off.
Thank you for your time and help,
KEEP 'ER SAFE !