Funny, I just had some electrical issues that lead me to account for my "electrical budget", and found that my green Dyna 3 ohm coils draw 4~5 amps when the kill switch is in the 'run' position.
Having just had some electrical gremlins/issues of my own, I thought I'd chime in
Unless wired otherwise, you shouldn't see any power at the coils when the kill switch is activated.
You want to power the red fused wire that comes from the Dyna pickup plate harness,
with the black and white stripe wire that comes from the kill switch.
You might try an ampmeter in series with the black lead of your multimeter (set and plugged in for amps measurement of course) on the + terminal of the battery and the red lead of your MM on the + battery cable to the bike.
Turn the key on and you should see a difference between 'run' and 'stop'
Your field coil draws about 1.6 amps (7.2 ohms @ 12v) so account for that.
If you see much more than 6.5 amps draw or so with no lights on you gotta short/leak somewhere.
Don't know what kind of shape it's in, but as an aside, if it's anything like mine, when I started adding Dyna coils, headlight relays, GPS ports etc. etc., my 37 yr old harness said "ENOUGH" at which point one of the three yellow wires out of the stator had had enough of the resistance (that became a big problem with the added loads) that it finally overheated and melted itself into the plug! Not enough can be said about cleaning/replacing and packing connections with dielectric grease (silicone grease is a great substitute)
I wound up replacing all the coneectors between the stator and the reg/rect. (that seemed to be the worst of it).
Also, the main ground to the frame is often overlooked and should be removed, scraped, greased and tightened.
All these little things add up huge.
Try this, find the black wire going to the rectifier and , with the key on, take a voltage reading between the black and negative on the battery, and compare it to the battery voltage. A 2 volt drop is not uncommon!
Of course if your pulling amps through the coils with the key on and ignition switch off, you have other problems!