A lot has changed since '65-'73 Mustangs first rolled off the Ford assembly lines. Back then, there wasn't much to worry about regarding power accessories-a radio, a heater blower, conventional ...
Classic Mustangs had marginal charging systems when they were new with amperage output ratings ranging from 38-65 amps. Most remanufactured Autolite and Motorcraft 1G alternators are 65 amps these ...
You've added that larger output alternator, but things still don't seem right. Maybe the lights flicker, or worse, a wire has burned up. Well, your original '60 to '69 Mopar came with an alternator ...