Well, someone has done something similar using a speech by Pope John Paul II:
I found this video on Simcha Fischer's National Catholic Register blog, and I think her reaction is worth quoting:
Speaking of things that someone ought to be arrested for, someone sent me this, and I thought I was going to hate it.
Then I played it, and I started to hate it, but then . . . I don't know what happened. I liked it. I think he would have like it. Anyway, it was nice to hear his voice again. Oh, what a weird world.
I think that sums it up pretty well!
UPDATE: Here is the original video of the speech (without any added music or audio processing): Part 1, Part 2