I had one particular speaker in mind on this, but the more I thought about it, the more I decided it applied to many people.
What kind of mind does it take to believe that you have been challenging the status quo all your adult life, but it is your opponents who are divisive? I'm not complaining about the sloppy PR or the superficiality of such a construction, though those are true as well. I am concerned because this is an enormous arrogance, a sense of entitlement, to even conceive of the world in this way. It implies that one's rightness, even righteousness, is so profound that to forcefully disagree is to offend against society.
Pay careful attention to who is throwing this word "divisive" around.