I don't know more than JB, I'm sure. But let me try to explain. I'm an electrical engineer by training (even if I haven't worked as one in a long time). I think I understand the situation. There's always the possibility that I don't though.
The large Brown/white wire: it provides the output voltage and current to power the system. It goes from the big terminal with a nut on the alternator to the ammeter. From the other terminal on the ammeter, a similar sized large brown wire goes to the starter motor and solenoid and on to the battery to keep it charged. The current simply passes through the ammeter on the way to the starter/solenoid and then the battery, to keep it charged.
The Sense wire: This one provides a feedback to the voltage regulator inside the alternator, so it can sense how it's doing with respect to controlling the voltage. No significant current flows in this wire. It's just 'reading' the voltage remotely for the alternator's voltage regulator. For my TC, the wiring diagram shows it going to the starter/solenoid. I would admit that I'm not sure what is the ideal place to sense the output voltage; I've wondered if it is better at the battery, but would do some online reading before I make a change. John suggests connecting it somewhere after the fuse block. That could be on the output side of the fuse that's connected to either the white or yellow wire from the ignition switch. I think for your car to work this isn't really critical, but that would be fine.
The wire for the charge warning light: One connection to the light is connected to power, +12v, when the ignition switch is 'on'. The second connection through this wire provides a path to ground through the alternator to turn the light on if the alternator isn't charging, like when the car hasn't been started. So it makes sense that it will turn the light on when you turn the key to 'on', but haven't yet started the car. The connection to ground is broken when the alternator is operating, turning off the light.
The last wire is the one labeled 'ignition'. That one must be connected to some source of voltage when the ignition is turned on. It provides voltage to make a magnetic field in the alternator to operate it. I don't know, but my guess is that in the old days the alternators had permanent magnets, but now they might operate with an electromagnet instead. So it provides the voltage for that. I say voltage and not power because it will draw very little current. It takes very little work to make the magnetic field. That one must be connected to a source of +12v when the ignition is turned on. So, like JB said, the white wire from the ignition switch (goes to the fuse block too) would be fine for that purpose.
I think it should work fine. Good Luck!
-Vince