That is NOT a Ford solenoid. Ford solenoids have the coil (magnet) grounded. The "S" terminal gets 12V from the key and energizes the solenoid. The second small terminal "if present" is the "I" coil ballast bypass circuit
To use a "Ford like" solenoid you need one with a so called "insulated base" or else retain the Mopar starter relay, or use a Bosch style relay, and fire the Ford relay from one or other of first two
If you insist on using a Ford, you need a 2 terminal NSS like on your shifter, IE start wire from key--through NSS---to S terminal of Ford relay
Another route you can go if you insist on having a "Ford like" solenoid is to find the oddball AMC Ford style relay which has THREE small terminals and was made EXACTLY for that purpose---to interface the Chrysler NSS (behind AMC engine) and fire a Ford built starter
One such is
Starter Solenoid 1M1025 AMC AMX Eagle Pacer Jeep CJ7 Cherokee 1979-87
You can see the one side has the same two terminals (and wired the same) as Ford, IE the I and S terminal, but instead of the coil grounded, the other end of the coil goes to the button terminal on the BACK side, which hooks to the Chrysler style NSS
DO NOT use a so called "continuous duty" solenoid for starter use.........they are wired "like you want" but the coil is "weaker" (for continuous use) and the contact ratings are much less current