As we learned on last night's Miles-centric episode, perhaps the only thing more complicated than time travel is the relationship between children and their absent parents.
So just like pretty much every other character on this show, with the except of Desmond and Juliet, Miles has abandonment issues with his father, who, it turns out is Dr. Pierre Chang ("the dude from the movies"), and that Miles was born on the Island (or at least resided there as a baby).
The conversation in the clip above plays exactly into some of the existentialist themes in Lost that I talked about last week. All these people, who have been abandoned, whether emotionally or physically, by their parents, feel like they are alone. They are their own island. However, those shared experiences is what connects them, and by Hurley literally sharing a part of his life story, Miles felt a little less alone, and a little more open to the possibility that a lonely life doesn't have to be his destiny. And since he's been presented with this second chance, he can maybe get to know, and understand his father, if only by looking through his window.