@neologist,
Interesting. If I understand Robert's planned changes, this might actually be possible. It would be a good way to keep the feuds removed from discourse.
The current thumbs feature is perfect evidence that any voting on who wins one of these fights would be a farce.
I can easily imagine a salvo like "Well...you're the idiot!" getting roaring approval.
Edit: Like the Twilight Zone, we could call it the "Cornfield." When enough members cry "Send them to the cornfield Billy!" those feuding would have to take their fight there.