They're perfectly ok with that, and depending on where you live this may happen in more or less overt ways. If the government wants your information, they will get your information. Your very best outcome is to simply rot in detention until you cough up your keys.
Now that I think about it, I'm pretty sure it was a session about root zone security, and Adam Langley was in the room. I was thinking, damn, kinda sucks to be the guy that holds Google's private keys. They want someone's information, so they let you rot...
