LOL! Now that's funny!
But, his first post mentions new condenser and plug.
Certainly sounds electrical - that bit about being more likely to stall with the lights on is telling. Maybe I'd try hooking up a 6-volt battery charger when the issue is happening just to confirm that it clears up with the charger giving things a good boost.
So, then you gotta figure out if a coil is going bad, leading to bad spark when it heats up, or if the charging circuit is not working. And by charging circuit, I'm thinking of the battery itself, especially.
But, given that you mention the battery was new to begin with, I'd be doing my number one charging system troubleshooting trick - clip a cheapie voltmeter leads to the battery, tape the meter to the tank, and go for a ride. Watch what the battery voltage is doing as you go. Is it dipping, dipping, dipping, to the point where the motor starts running badly?
Then, I'd be metering stuff: stator unconnected AC output when running. Stator resistance wire-to-wire and wire-to-ground. Gotta short? Gotta open? Then, meter the rectifier diodes.
Between all of that electrical troubleshooting, you'll likely have your answer.
Good luck with it all, and keep us posted.
Kirk