Here are the responses from the e34M5 yahoo group--
1. Hi there,
I had a problem with mine much like this. I had thought fuel pump as well. However, I found the top of the ignition coil & ignition wire going to it completely burned into a pile of carbon dist. I have seen corrosion at this connector before also causing stumbles on acceleration. Hope this helps...or at least one more thing to rule out.
Andrei
2. Pull the distributor cap and dry the water in it. I had a similar problem a
few years ago. It was very odd. I checked everything, including installing
a fuel pressure gauge and watching it while driving.
The engine would misfire very badly once the engine warmed up, but not in
concert with the water or oil temp. I could start it and run it for 5
minutes, then shut it off and wait for the heat to migrate to the
distributor. That would do it, even though the water was cold.
Gary Derian
I saw that you are registered on the Yahoo board--it's a great group of folks. I wanted to post answers in this forum so that if anyone else searched opinions on a similar matter they would be here for everyone to see. Good luck and keep us updated!