+/-12VDCWith the Source of the FET at some negative voltage it will be on all the time if the gate is at GND or positive. You CANNOT do this with a logic gate as the circuit is drawn.
ETA: what is the magnitude of V+ and V-?
I would suggest a Mosfet. What are the specs on the relay?Any suggestions would be appreciated
If you look carefully at the voltages and currents you will see that it does, in fact, not work (for the circuit you posted).I simulated (TI-TINA) this with an N-channel FET and it does in fact work.

Then you did something wrong, because it does not work.+/-12VDC
I simulated (TI-TINA) this with an N-channel FET and it does in fact work.

You just need one 1.6kΩ resistor in series with the relay.The actual rails are +/-16V so I added a couple of series Rs to drop the voltage on either side of the relay.
Do you mean R2?I increased R1 to 300k which balanced the current through those resistors
Yes, R2 in mine. I did see slight differences in the currents through each resistors and adjusting R2 balanced them out. Shouldn't there normally be more current through R3 as it flows thru the BJT?You just need one 1.6kΩ resistor in series with the relay.
No need (or advantage) for two.
Do you mean R2?
R2 has nothing to do with those resistors' current since they are in series and thus have to always carry the same current.
I think I'd reduce R6 to 4.3k, so at least 1ma is flowing in the base, and the PMOS gate is pulled as close to ground as possible when turned on.[IMG align="left" alt="crutschow"]https://forum.allaboutcircuits.com/data/avatars/m/19/19451.jpg?1681483160[/IMG]
crutschow
Thanks for the detailed reply. I simulated the circuit you provided with some of the additional details pertaining to the relay and it works great. The actual rails are +/-16V so I added a couple of series Rs to drop the voltage on either side of the relay. I increased R1 to 300k which balanced the current through those resistors. Thanks again!
View attachment 330271
Yes, the small current through R2.Yes, R2 in mine. I did see slight differences in the currents through each resistors and adjusting R2 balanced them out. Shouldn't there normally be more current through R3 as it flows thru the BJT?