'We are NOT getting on a plane...
"...to see some crazy, stalker lunatic! Haven't you ever seen Fatal Attraction?"
All the posts on this board make reference to Fatal Attraction, but Sam (Tom Hanks) says it himself, yes?
He knows she's crazy, but he settles for it. He is the antithesis of Walter who says "I don't want to be the one that ANYONE settles for."
Sam settles for a loon, while Annie settles for magic.
Love makes us crazy, and that craziness is magical - in a sense, yes?
I believe that is the overall message of this movie.
Though that doesn't excuse the fact that she stalks him.