This is two part problem:
a. You need to fix the electronics.
When you turn off the ignition, the plugs shall not be supplied with any current and thus the engine shall stop
no matter how much fuel is present etc.
I suspect that the car has had the radiator cooling fan tempered with.
b. Now comes the timing problem.
I am assuming your problem is related to running the car on gas,
which leads me to suspect if the mixture setting is right.
You must try blocking a part of the air intake (60-75 % ) with a card board or some thing.
Your car's acceleration problem should go away.