I was arrested sometime in early 2011 (let out after 7 hours without charges, which was a fun story in itself). In my pocket, they found two USB sticks. one was a Linux Mint LiveUSB. The other USB stick was encrypted via LUKS. The police could have booted of the LiveUSB, and then inserted the second USB to decrypt it. if they had decided to force me to divulge my password, they would have found all sorts of incriminating things to keep me for longer.
However, this did not happen; when inserted in the police's Windows PC's, they merely popped up a "This drive is not formatted. would you like to format it now?" message. Naturally, they clicked "no" and gave me back the stick. I owe a part of my freedom to Microsoft's and my local Police's devotion to the Windows OS.
TL;DR - LUKS not working in Windows OS is a feature, not a bug.