I mean you can encrypt and refuse (forget?) the password in the USA, but there's really not much else. Judges (at least here in Texas) give out warrants like they're America Online (TM) CD's and the state attorney general is a well-known "alleged" grifter. It's looking real bad for the 4th amendment in the USA, it's on the ropes and has been especially since the Patriot Act kicked off a lot of police anti-constitutional actions.
They wouldn't be continuously trying to ban encryption worldwide if that was true. There's plenty of things everyone can do to protect themselves.