If your adding a shifter you will probably need to reconnect the back-up lights also. Your shifter should come with a switch for the back-up lights and one for the neutral safty switch. The easiest thing to do is just to remove the assembly from the steering column, and then pull the connecters. If you check out your shifter you should notice two sets of cam slots. The back-up light switch will ride in one and the neutral safty switch will ride in the other. You will have to adjust each switch. I had to file the metal finger on my switch down a little to keep it from getting caught on the sides. The switches provided are probably and should be normally open contacts. When the switch is activated it will provide a ground to complete the circuit. If I remember right the ground is applied to the ECM while the shifter is in PARK and NEUTRAL. This is the cam slot that the neutral safty switch will ride in. The other cam slot should cause the back-up lights to energize while the shifter is in reverse. Your can purchase the matching connectors so you do not have the splice or cut your wires,,,,,,,,I spliced mine.
As a note the neutral safty switch as we have been calling it will not keep the car from cranking while it is in gear. That is done with a mechanical interlock keeping the key from turning. This mechanical interlock is provided by the shifter rod connection between the gear shift lever and the steering column. If you remove this lever you will be able to crank the car in gear. The neutral switch is used by the ECM,,,,,,,,,, and from what I understand only for the purpose of going from a idle/park type of timing and fueling to a in gear setting. Warning,,,,,,,,the linkage is also what locks the steering wheel,,,,,,,,,so if you remove it you will need to lock the lever on the engine side of the fire wall in the upward position. Doing this is against NHRA and IHRA rules. You should not be able to crank your car in gear. You would possibly fail a state inspection if this is checked. So,,,,,,, connect the each switch and keep the linkage.