I'm guessing the a/c clutch is dragging. Perhaps the pulley was bumped during the conversion & has a wide and narrow gap when it freewheels. Most a/c clutches have a means to adjust the gap with shims. Maybe have the shop take a look at it & tweak it. The compressor running in reverse momentarily is normal as the mechanic explained.
more info:
http://www.bimmer.info/forum/showpos...27&postcount=7