Okay first problem:
You've got 9 terminals on your OEM ignition switch. As originally wired, 8 of those take a wire (BAT 1 & BAT 2 are internally jumpered within the switch).
So, the switch requires 8 connections - and the kit only supplies 5 wires.
There is no wiring provided with the Kwikwire harness for the temperature gauge & brake warning light test circuits. That leaves 6 terminals to hook up to.
As factory, BAT 2 & BAT 3 each have a separate feed from the firewall. The kit only supplies one feed for both, but they supposedly have included a 6" external jumper wire. That increases the number of leads they provided to 6.
This is how I think the 5 wires (6 with the jumper) from Kwikwire should be connected to the ignition switch:
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