OK, so let me throw this out there then.......should you just add the additional 4ga wire on top of the orange/black that go to the solenoid? Perhaps I've missed something here. I'm so setting my car on fire.
In case this only pertained to the solenoid connection: As Jrichker noted, leave the OEM wires attached to the solenoid (you remove no wires from the solenoid for a 3G swap) but do NOT reconnect those same wire(s) at the back of the alternator. Doing it this way keeps the sense circuit active while not using the stock wires to carry alternator load.