[Big Kev-O]

Noticed you figured it out but this might help others in the future, I have the same harness and happened to take a picture of my switch in the parking lot of the auto part store before changing out a fauty switch. If I remember correct the dome light was a bit tricky, I think the white wire that EZ provides to connect to the switch actually tied to the orange in the factory dome light wiring. I will check and confirm so you might want to hold off on the dome connection for now. One of the red wires on the double connection is a jumper but it gets cut off in the picture. All my light work properly.

Sounds like you have a "one wire" configuration for your alternator wiring. If that is the case you may want to use EZ wires to switch over to a 3 wire setup.