Thanks for your insight into this situation!
Here is some more information.
When it happens: Stopping, speed from which you stop does not matter, it has happened while stoping from 5 mph and 60 mph. Pressure of braking (quick or slow stop) does not seem to make it happen or not happen. Though it is starting to occur more when a slow stop is used then a quick stop.
Gauges: All guages are normal. Something is making the engine stop but the sensors can't pick it up. There is no smoke, smells, or excess vibration that have been noticed.
Indicators: There are no indicators or patterns of behavior that make it stop, it just happens. Stop lights usually are its biggest hangup. If we could aviod them that would be great
Performance: No issues, after my brother and I got done driving it last night we know that there are not any performance issues
Environment: Temperature, humidity levels, raining or not raining, it still happens.
My thought: From reading your posts, I feel that something is forcing the engine to quit. I do not believe it to be a fuel delivery problem but more of a stopping issue and the mechanicisms involved. I hope it is not the tranny as I am sure it is not cheap to diagnose and fix them.
By the way, what is a CPS?