In virtually any organization, all sorts of "politics" exist and many people fall prey to those things, building up walls between people or, really, building up walls around themselves. When this happens, consensus, trust and faith become virtually impossible to build. Those with true leadership potential refuse to engage in gossip, back-biting, and, like I said, "politics." If someone else builds up a wall against them, they refuse to recognize it, instead going forward and creating a situation where they are continually chipping away at that wall.
I guess I shouldn't say that tigers can't change their stripes and gain this focus in a positive way but, if it doesn't come naturally to them, they will need to have someone point it out to them and then mentor them in a positive way if they are ever to excel in a leadership role.