If its any use, I have had similar problems with my golf. Battery only receiving 12.7 volts (at idle) before anything was turned on. Almost lost all lights on the motorway the other night as I had on lights, heater, demister, wipers radio even front fogs as the weather was horiffic. Couldn't get a replacement voltage regulator as it was an unknown alternator. Anyway, bought a replacement alternator from GSF yday and its producing 14.4 v at idle. I would have thought your alternator would be producing a higher voltage that what your measuring currently.