[Dodge]

It’s been along time but doesn’t the stock system put hot to the solenoid and the starter button grounds it out for the connection.
You also don’t want to use the original solenoid and the solenoid on the starter it won’t disengage quick enough, there is a slight delay that hangs up the starter.
Find a starter button that will put 12v to the solenoid on the starter.
If memory serves me correctly.