Well... You do do a lot of jumping about, that's for sure. You also write self-obsessed, peerlessly shallow, power hungry, lunatic politicians exceedingly well. I feel I must congratulate you on that sir.
That said, is there actually a way out of this? Judging simply by what is said and written in that post, no amount of reason or logic will compel the other nobles to any action that doesn't lead immediately to the death or incarceration of the seven. For all intents and purposes, their minds seem to have been made up. Short of managing to kill them all on the grounds of being illogical idiots, that is...