It entrusts the identity to carriers. What use of having perfect peer-to-peer security if you can't be sure who you are talking to? So you will send the data to Eve in a perfectly secure way, while thinking you're talking to Bob - and that's better than Eve breaking the encryption? I say it's much less work for Eve - instead of employing vast resources to exploit a tiny vulnerability in encryption, she would just need to take over a phone number. And if she works for the government, it's not even a hard thing to do.