I think the problem with roleplaying both characters arguing is that only one of them will get option to back out (usually adding him +1 to Obidient trait, instead whatever his choice would normally give).

When one character chooses his stance (intimidate, reason, charm), other one can chose his own stance or just agree with other character.

There should be option that when 2nd character chooses his stance that then first character can agree with other guy, or if not, proceed with R-P-S game.

With current system, first speaker has no option to back out from his choice.