If I understand Gregg's idea, then if you can live with a voltage drop to the turntable it might be a fairly easy assembly job. I'd go with as small a relay coil voltage that is practical/economical which I'd think is 3V. I'd use, say, 4 diodes to limit the relay coil voltage to just under 3V no matter what the turntable voltage is.
In other words, the 3V relay coil will take away about 3V of your available turntable voltage which would limit your top turntable speed to, say, 15V if your Bachmann puts out up to 18V. If your turntable goes backwards - probably with a DPDT switch to reverse the polarity to the motor - that switch needs to be right at the turntable (shown with green box) so that the diodes see the correct polarity as shown (with the little bands at the end of the diodes).
If you can live with the 3V "tax" on your voltage, then we can identify specific components but I'd say $2 for the relay, $1 for the diodes. It would be useful to know about how much current the turntable uses.
OTOH since Gregg mentions 12V, perhaps he's referring to yet another method as I'd think you want as small a voltage "tax" as possible if co-opting some of the Bachmann output.