Hi! Some of my tips to deal with this message:
Check your fuses.
Check your grounds, run a complementary temp. ground from your battery to the engine block and drive your car.
Wiggle your BCM harness and see what happens.
Many times it is a shorted module that blocks the CAN network what causes this message, take your BCM and start disconnecting all non-vital modules (AC, Radio, AirBag, Reverse Module, Cameras, Lights, etc) and drive the car to see if the message appears.
Check your transmission: a pillow sensor failure or a transmission starting in the wrong gear can also cause this message. You will need a good scanner capable of reading TCM codes.
Check your CAN termination resistor, possibly at this point it already starts to be a bit complicated and you need advanced tools like an oscillator and a lot of patience, this STABILITRAK message is a mystery because it appears for different/undetermined reasons.
Good luck,
D