SheltonJ,
I've been doing some extensive driving with Cheetah's GPSMirror of late and have hooked it up to several radar detectors via their radar detector interface.
Cheetah's alerting does rely on the audio tone alerts of the equipment to which it is attached (and therefore the potential for a small latency does exist).
With respect to picking up tones from the Blinder system, while their may be a similar type of latency in the system, I don't see how having the Cheetah hooked up to your jammer would in any way cause any potential for a delay of the jamming function, itself, perhaps just the alerting of the jamming function.
We'll see if we can get either Blinder and/or Cheetah to provide their input to your question.
Veil Guy