Yes, looks like two options.
1. We can help fix your current stock charging system.
2. We can make suggestions on an upgraded alternator.
For #2, I can suggest upgrading to a 3G alternator. It's not a 1-wire alternator, but is really easy to upgrade. I run a small case 3G, and is as close to a bolt-in as it gets. Drill and heli-coil one hole, reuse the v-belt pully from the stock alternator, and it mounts exactly like the stock alternator. Relatively minor wiring changes: The output of the 3G alternator should go directly to the positive battery terminal. I connected mine to the BAT side of the starter solenoid. The 3G also needs a hot-in-run connection, which would be the Green w/Red stripe wire currently at the voltage regulator. Cap off the Black w/Yellow stripe wire that was the output of the old alternator. Remove the voltage regulator and the rest of the wire that now don't go anyplace. The stock ammeter will no longer function, so I would suggest the addition of an aftermarket voltmeter to keep tabs on the state of the charging system.