So far I love the function of this alternator but I will say its been more of a problem than I expected. It has some wires that somehow deal with the operation of the alternator so in theory it is a "1 wire" alternator but I had this same black read wire disconnected twice in and the alternator doesn't function without it.
What Black w/red wire is that? Where is it connected, and are you describing part of the alternator, or part of the body harness?
Don't you mean the White w/black wire? That's what it sounded like you were describing earlier.
Sorry about the extra hassle, but it's a necessary evil whenever you remove the alternator for service or whatever, and have to unplug it from the harness. Those wires that were connected already when you received the unit, will sometimes have to be removed from the unit when it's disconnected and moved out of reach of the wires. But replaced right where they were previously, for proper function when the unit is reinstalled.
I guess that means that, when you first buy it, it's a 1-wire unit. But any time you remove it entirely from the vehicle, it becomes a 3-wire alternator again!

I'm sure there is a good reason for it to be exposed and removable instead of internal or soldered in place. but for my application there is no reason for that wire not to be permanently connected.
The good reason they are exposed, is because a 3G alternator was originally designed as a full 4-wire alternator. To be a 1-wire (it still has 3, but you only have to connect 1) it utilizes a self-exciting internal regulator, in place of the non-self exciting unit. But by design, it still must retain it's exposed components in order to utilize the existing, or included 3G connector. So even though it's internally regulated, some of it still shows up on the exterior.
The 2 remaining wires (Yellow w/white and White w/black) must remain where we connect them, and Ford intended, even if you remove or otherwise mess with the alternator for whatever reason.
I suppose that, because they are so short, any time you remove the alternator you must "unplug" it from the rest of the harness. This dictates that you do disconnect the other two wires, since they remain with the plug.
Then when you (or any other mechanic) service the alternator, or remove it to service other parts, it's still required that all the wires go back where they were.
Again, sorry about the extra confusion, but it's all about reconnecting things the way they were when they last worked. Just like pretty much every other component or system on a vehicle.
The Yellow /white voltage sensing wire attaches to the BAT output stud, and the White w/black stator wire attaches to it's mating connector on the side of the alternator. As discussed in this thread.
It's called a "1-wire" alternator because, at least in the beginning, you only have to connect one wire to the vehicle harness. That wire would be the BAT charge cable to the starter relay and battery.
Sorry to prattle on so, but I figured it would be good to air some of that out.
Paul