This forum has provided some great guidance so I thought I give an update. I dismantled the running lights and was able to remove the fairing with the light bar in place. Cleaned all 5 connectors and blew them out with an air hose (best to use eye protection for this part). Greased them and stabilized the connections using SEAKING’s zip tie trick. It took some practice but had it down by the 5th connection. The audio is back and sounds great – a successful procedure.
With the fairing off, I figured it was time to remove the buggered bolts holding the light bar (that’s what started this thread). An auto mechanic friend of mine suggested I use a slightly oversized torx bit and pound it in to the rounded 5 mm allen head of the bolt, making sure it was fully seated. This worked like a charm for one of the bolts, though it fought me the whole way out. I couldn’t get a good hold on the second bolt so drilled off the head, removed the light bar and spacer and used vice-grips to remove the remaining bolt.
Following up on a comment by MidnightSpook that there's something about these two bolts that give people problems. I've got an idea. Both bolts pass through what appears to be the headlight frame before hitting the threaded aluminum block. If the holes aren't perfectly lined up (neither of mine were) they put lateral pressure on the bolt and the threads. I haven't bought the replacement bolts yet but plan to expand the holes in the headlight frame and run a tap through the threads to clean them up a bit before re-installing the light bar. Hopefully I'll be back on the road, with tunes, in a day or so. Thanks everyone.