The demarcation is that my side celebrating someone's death is reasonable, level-headed criticism that reflects the will of the people and how dire the situation is - you've just gotta consider what we're saying and think that both sides have valid points. On the other hand, your side not showing Kim Jong Il funeral levels of grieving towards my figurehead is extremist violent rhetoric that has no place anywhere in our society, it has to be punished; the deranged, crazed, murder-hungry perpetrators must be suppressed and removed before they kill someone. The demarcation is that I'm stronger than you. Rules and logical consistency don't matter when you have power.
I only tried to be mildly cynical here, because I actually can't come up with any other justifications here. I don't think there's anything non-inflammatory that can justify this outside of ideological reasons. If anything can think of any, let me know.