Alternators need magnets to generate power. They can be permanent magnets or electromagnets. All the SOHC4s have electromagnets, meaning you must have electrical power in order to make electrical power. Without ANY electrical power, the coils won't spark the spark plugs. You must have a battery to start the SOHC4.
As for kill switches, there are two types; grounding and interrupting. The SOHC4 uses the interrupting type, as in; it breaks the power flow of electricity to the coils. If the points are closed, actuating the kill switch, run to stop, can cause the spark plugs for that coil to fire the plugs...once.
Neither of these types of "kill Switches" operate the starter motor. That is a separate electrical circuit.