As I spoke with a lady yesterday while walking, I don't know how anyone can refute His Existance. That "moment" was not something anyone mortal could have timed.
That day, the timing, the crowds, and so on, was just amazing. I could not believe Nancy had the strength to walk up those steps of AF1 yet again.
And yes, God was in the timing. They said several times while the cars were going from the airport to the library, that things were behind schedule. So having it end as it did, God's hand was certainly there (like we didn't know that in the first place!)