I climbed up to the vertibird after Kimball has started his speech. I tried examining the vertibird but didn't have enough skill to examine it. The people near the vertibird started attacking me so I had no choice but to kill them. Then, the vertibird flew upwards and out of sight and I got a quest update saying that I protected Kimball successfully.
Kimball was no longer on the stage and the audience were all in their underwear.
Apparently, I was supposed to stop three attempts but the quest ended far too early. Just what happened?