Automatic bricking...
"Further they should be prepared to dig themselves a potentially bigger hole if they refuse police requests to hand over passwords."
OK, what happens for example if instead of a password you use a key file (e.g. with TrueCrypt) and store that key file inside the encrypted volume. The only time it is temporarily copied to a USB stick is if the computer needs rebooting by the owner. If plod shuts down the machine or it is rigged to shutdown if tampered with, then the machine is unbootable (or encrypted volume effectively lost) and the user has no passwords to hand over. The temporary USB stick would be wiped (overwritten) between uses. What then Mr Plod?