2/28/17 update - Got a freshly charged battery on it, new fuel filter, spark plug, clean tank/fresh gas, and a cleaned out carb.
Left brake locked, key in on position, red kill switch disabled, fuel pump primes, lights/turn signals work, press START button.... nothing.
I'm really beginning to think it's something electrical. I haven't traced the wires from the Start button back to the harness, but thinking about starting there next.
Any suggestions on where to go to next?
Thinking about testing relays, and inspecting the stator. I don't really know how to tell if the stator is bad.... I guess what I need to know the most is what the black start button is actually starting. Does it go to the ECM, and then to the stator? Is there a relay somewhere in the mix? Fuses look fine.