(quoted from post at 05:08:12 07/18/21) Would I still have 12v at the solenoid connection on the starter when I turn the key to the start position if the neutral safety switch is bad?
It depends on how bad the switch is, and how you measure the voltage. If you use a multimeter or a test lamp and measure the voltage between the end of the wire disconnected from the solenoid, and ground, you will get the voltage when the system has a very low load. Multimeters and test lamps draw a very low amount of current, you need a larger load to detect the problem in the system.
Connectors, wires, switches, relays and other components can have damages that will let through a small current, but not a larger current from a work load. That can lead to wrong conclusions when you measure continuity or voltage.
Connect a bulb for a car (~ 60 W) instead of the solenoid. It should not glow bright with key in start position. Now you can bypass the safety switch and turn the key to start position in a safe manner. Follow the two wires from the top cover for the transmission, there should be connectors under the shroud that you undo and connect the incoming wires together. If the bulb glows bright in start position, you have a problem with the safety switch or its harness.
If not, there is a problem somewhere else. Disconnect the wire that feeds the key switch, normally at the "B" lug on the voltage regulator and connect the end to a jumper wire that goes to battery (+). Try the key switch.
If nothing happens, move the jumper wire end to the lug on the key switch that connects to the solenoid (bulb). If the bulb glows, reconnect the safety switch and try again. If the bulb glows, the "downstream" wiring is OK.
Switch the jumper to the feed lug on the key switch and try with the key in start position. If the bulb glows, the key switch is OK.
When all tests are OK, reconnect the feed wire to the "B" lug at the voltage regulator, and try to start.
Please, do not leave the safety switch bypassed. Fix the problem instead.