Can You Run A Wire From Alternator To Battery. 4 gauge wire makes great accessory leads and alternator wiring up to about 160A. Running that wire will not cause any issues actually the main battery fuse in the fuse box directly connects to the wire in the fuse box under the hood wich then goes straight to the battery so no difference if you add in a fuse.

Many cars use this as a battery cable. The battery positive wire connects to the starter. I would suggest 8AWG from a welding supplier.
Other wires can be used for voltage sensing from the battery to the inbuilt regulator.
You will connect the ignition wire perfectly from the alternator conveniently to the key switch. The current from the battery to the starter when cranking will be greater than the charging current from the alternator to the. The alternator charge wire routes direct to the battery and not through any switch connection the alternator will not operate correctly if not connected direct to battery or directly through the ammeter. I was so focused on that due to how clean the wires were I never checked the main hot.

