S. Korean leaders may publically speak about the desire for reconciliation, but it's unlikely that they would seriously pursue it considering the economic and political strain it would place on S. Korea.
N. Koreans have a much greater interest in reunification than the South does. But that interest doesn't extend to those in power in the North who would certainly be reluctant to give up that power.
So while reunification might seem like a nice sentiment, it doesn't seem like something that those in power of either side actually want.