Aging is a process of rounding-off. The sharp edges of the personality are ground down and smoothed. In this sense, life drives human personalities toward a mean, an average.
If we lived long enough, would we all be the same person? In a sense, yes; in practical terms, no. But those people would come to resemble enlightened beings, and would become such beings in the natural course of things. It would happen between the age of 130 and 150 if the human race could survive that long.