What makes people become a leader or leadership place?

Through observing different supervisors at my orgnization, here is my conclusion so far.

Of course, not all the leaders are the same.  Some are easy to get alone with; some would make you feel a pain in your butt.  However, they have something in common.

First, they are political savvy, but that doesn't mean they choosing a side. However, without very sensitive to the political situation, it's hard to being promoted to a leader position.

Second, most of them have a vision that oversee everything and direct the whole situation.

Third, they always have candies and rods at their hands to manage siuation and people.

Do you agree with me? What do you think?