My 85 745t is also having a bit of the same problem, but not that severe. I have to back off of the gas pedal sometimes when the engine is cold. I don't really know what the problem is, but I have done a lot to my car so this might lend some insite to the problem.

Mine car has had all of these things replaced:

airbox themostat, all temp sensors, main fuel pump, fuel pump relay, all battery cables, battery, fuel pressure regulator, idle air valve, most vacuum hoses, spark plugs, ignition wiring, distributor, igition coil, and a bunch of other things not related to this problem.

What I have not changed is the AMM and the O2 sensor. I set up the AMM idle adjusting LED and had to turn the AMM adjustment screw quite a bit for the LED to cycle properly. I am thinking that the problem is one or the other or both. I don't know the age of the O2 sensor, but from reading the FAQs it leads me to believe that it would not hurt to change the O2 sensor. The AMM is a bit more expensive, so I am in no hurry to change it. I am a bit worried that the AMM may not be working up to par because my airbox thermostat was broken and stuck in the open position before I fixed it. I do know that the contacts on the AMM connector get quite oxidized on the bottom side of the pins. This oxidation is black and non-conductive.(it is actually hard to see) You should be able to wiggle the AMM connector while the engine is at idle without the rpm changing. If the engine RPM varies when you wiggle it, you need to get those pins cleaned up.

I will let you know if the O2 sensor fixes mine when I get around to it. I am trying to make my car as reliable as I can since I have to drive it 60 miles to work every day.

Randy