If this statement were directed at particular parts of the Internet where there are known problems, it would make a lot more sense. But as a blanket statement about the entire online world, it's nothing more than exactly what you'd expect a Facebook person to say; they are obviously in a business that benefits from this, but no one else really does.

We have insecure protocols (e.g. E-mail is wide open), and there are places where it would help to be very sure that something came from a particular person. There have been solutions, but none of them is sufficiently widespread. Is Facebook ponying up some money or resources to help solve that? Probably not.