Agreeableness trumps Neuroticism IMHO. Neuroticism is a knee-jerk reaction that you cannot control without a lot of self-control. To expect an individual ranking high in Neuroticism to control themselves is to be blind to other's points of view. In short, it means that you do not have enough sensibility to understand and predict the reaction of others before they happen.
Agreeableness allows you to predict those reaction and plan accordingly.