[rrhorton]

Problem solved!!
Thanks to all who provided input. I disassembled the one I removed and confirmed that the coil was not grounded to the base. I had continuity from the S terminal to the I terminal. I attached a ground wire from the I terminal to the mounting screw from the base to starter housing and after pressing the start button, got engine rotation.

I guess even though the solenoid housing indicated both an S and I terminal, as was stated, it was not wired as an older I terminal for a boost to the coil during starting.

Personally, I would have preferred to keep the original push rod start switch, but the previous owner had changed up things so to start with I decided to just go with the flow.

Now to put gas in and attempt a first start.