Did you sorted it out?
I have the exact same problem this evening!
After installing the Converson Kit, everything is working just fine until the engine starts.
The headligt "starts up" and stays on for a couple of seconds, flashes a few times and then "dark black" and switch off. Turn off the engine, lock the cars, unlock it and everything went back to normal.
Whith the engine turned off, the headlamps can be "on" several minutes without any problems, but as soon as you start the engine everything "goes bananas".
I really can´t figure why!
With the engine turned off, headlamps on, the voltage on the HID is about 12.7V.
When the engine running, headlamp start to flash a couple of times and then "shuts down", the voltage on the HID is about 14.6V. I don´t understand why the HID is shutting down! Even if I "reconnect" the power to the HID, still engine running", it wouldn´t start. I have to stop the engine to make it work normal again. STRANGE!