I've got a similar issue and found it to be voltage related. I have the new CTSC on a auto. And when the a/c comes on the idle slows as well. But they tuned some of it out. And found that my new denso alternator is only putting out 11.5-11.9 volts at idle so when I have the AC on and click to reverse or drive it sometimes turns off on low voltage. I've tried to get ahold of a warranty alternator but haven't herd back yet.
Check your output on your alternator with a good multimeter read right at the alternator. Or have someone watch it. As you turn the A/C on and off. Maybe it's the same issue.