Hello,
You have isolated the problem yourself. It is either going to be in the ignition switch or the wire going to the starter solenoid. I have included in the diagrams below a factory diagnostic troubleshooting guide for the ignition switch. Please go through it and if the ignition switch is okay I can give you instructions on how to do a voltage drop test on the wire to confirm it's the problem if you wish. Either way, please get back to us with what you find out.
Thanks,
Alex
2CarPros
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Sunday, April 21st, 2019 AT 3:55 PM