In her defense, if what she meant was, they should pick one name and stick with it, it would make the bureaucracy run more smoothly. If you read the article, the context of the statement was: I mean, I realize it's a cultural thing, but in the US, we're used to having one name.
EDIT: If you watch the video:
http://www.youtube.com/watch?v=v9hdVUzMeDw
...she explicitly says, "I'm not talking about changing your names". (3:45 mark)