This is like fishing. Sometimes you get lucky and don't go hungry. Given that the red wire is that large and comes from the alternator I would say it is the one that charges the battery. The blue wire from the alternator is used to turn the ignition light off on the standard setup. You don't need it.
So Libby, does that blue wire get 12 vdc applied to it from the ignition switch? Or need a load like the dash light to work against to get the alternator to charge? And don't we need to get voltage to the field coils too? Those might be the whitish wires in his picture. Perhaps a picture of the back of the alternator would help me think on this. If thinking is the operative word here at all. Too long of a hot day.