Doc.
Thanks for sharing your experience. Sorry to hear the problems you are encountering.
CAT. + Compressor = a lot of money. My SA told me it would cost 20,000 AED for a brand new compressor, part only! And you have to wait for few weeks.
I left my Alpina at the workshop before I took off for a 2 week vacation. Hopefully this would give them enough time to sort out all problems.
Got the email from the SA today for a bit of updates:
1. Fluctuating idling at cold start: all spark plugs need to be replaced and they are waiting for the plugs.

?? I thought the Alpina use the same plugs on BMW 5 series.
2. Oil filter: they told me the oil filter (part no. 11 42 7 542 021) they used was correct. That is the part indicated when key in the chassis number in their system. However they has replaced the old one with 11 42 7 511 161 per Alpinas instruction.
I have asked them to check the compressor and make sure there is no leak. Luckily my car is still under warranty till Feb 2014. However leaving the car there for weeks is still a big headache.