Unfortunately, Frenches and I have been back and forth one this. Im not sure how the caliber PCM/ECM/ECU works as compared to out DR trucks with CanBus and such.
A majority of cars will run HIDs without the need for load resistors or relayed harnesses.
Also unfortunately, I go through so many threads on so many different sites I cant remember Frenches whole setup. LOL
But if Im not mistaken frenches, you have a standard bi-xenon setup correct? With a relayed harness right? I remember us talking about the load resistors.
If you take out the relayed harness with the load resistors and connect JUST the HID ballasts to the OEM headlight wiring to trigger them on, do they still flicker that way? Do they flicker with the engine running or off) Find the (+) for the low beam and temporarily wire it to the (+) on the ballast and ground the other pin of the ballast.
If not them connect them that way permanently and move on. (this means you will likely only have low beams though)
If they do flicker with the ballast connected directly to the OEM headlight wiring (again, is it with the engine running or not) then take which ever one is flickering (or both) and temp wire them directly to the battery to test the ballast itself to verify that is not the issue and misleading you to think it is something else.
Try these out and LMK what goes on.