Voltage regulator problem with 1968 Dart

OK. That's prob not directly related then.
How does power get to the main splice? The reproduction harness heavy black wire?
Is ignition using points or something electronic? And if electronic - how is it wired?
I ask that because the original regulator shares the ignition circuit.

MrBelvedere2 said

when you turn the key to Accessory position, the voltage regulator gets fried and smoke comes out.

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This should be a pretty big clue.
Key in RUN should let power flow through both 'ignition 1' (run) and accessory feeds out of the key switch.

I checked the voltage at the blue wire coming into the voltage regulator, 12.4 volts

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What key position when you measured this?

MrBelvedere2 said

I also noticed the the car is also blowing the fuse for the cigar lighter/dome light.
cold these 2 thing be related?

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Could be.

The dome light circuit is always hot. It doesn't go through the key.

Have you noticed when the fuse is blowing?