It's good that they are doing some customer identification, but, from a US legal perspective, that doesn't cut it. If Bitstamp is a foreign MSB servicing US customers, then it is subject to the so-called Foreign MSB Rule, requiring, at minimum, FinCEN registration. It also must register in those states that have adopted extraterritorial jurisdiction, like NY.
Lame metaphor: It's good that Bitstamp knows how to drive and isn't getting into any accidents. But if it ever gets pulled over, that won't matter if it doesn't have a drivers' license.