The school's only new students each year would be two-year-olds, for multiple reasons that I'll discuss elsewhere. In order for the school to have a positive effect on resolving the conflict, at least 60% of these students need to be the most politically connected two-year-olds in the area, based on who in their family works for the government and at what level. If the leader had a two-year-old child in a certain year, that two-year-old would be the most politically connected two-year-old for that year, etc.
For example, the most politically connected twelve-year-old currently in the Washington, D.C. metropolitan area is Sasha Obama, simply because her father, Barack Obama, is currently the President of the United States. President Obama does not have a two-year-old right now, but one of his colleagues nearby surely does.
The remaining 40% of the space for students would be offered to two-year-olds in the general public by way of a lottery. This which would make the concept of the school seem fairer to the general public. There is a tension between increasing the 60% to quicken the effect of the school on the political conflict, and increasing the 40% (the spaces for lottery students) in order to keep the public's acceptance of the plan.
Social network analysis would be used to calculate the political connectedness for each two-year-old in the metropolitan area in order to see if that child gets admitted without having to wait for the lottery. Social network analysis is about analyzing who the friends are of your friends' friends' friends.