A norton commando's electrical system is:
a rotor/stator to provide AC voltage,
a rectifier to turn AC into DC current,
a battery to hold system voltage up when engine RPMs are below levels that generate 12 volts.
a zener diode to control overcharging of the battery.
a 2MC capacitor to start the bike, even if the battery is dead
This is a system of components designed to work together to eliminate all the possible shortcomings. If you take away the battery, then voltage fluctuates greatly with engine RPM's. Points don't require as much voltage as electonic ignition, so maybe the capacitor would work reliably to start your bike. Your spark will be strong when you are going fast and weak when your idling. I'm sure the hard to adjust carburation will love a wide variation in spark quality...
If you are asking might it possibly start and run in my driveway as it is set up in the pictures, I would say that it might. Would I ride it anywhere that I couldn't push it back into that driveway? no, I wouldn't.
That bike should have a magneto and it that would be a reliable ignition that needs no battery, nor external voltage supply. What it has is half of an electrical system and "points". If you are committed to getting it running on what you have there showing, maybe research "battery eliminator technology for motorcycles" and find out what you are up against and see if there's some newer electronic components to improve the performance of what you have... Good luck.
... purple norton chopper... wooo hooo