That's not how you are supposed to use (e.g.) TrueCrypt. Your dummy passphrase, without the incriminating data, should be the one that you use for all legitimate business.
If you have multiple dummies, be sure to have something embarrassing, but not incriminating, in the other dummies.
If you have multiple dummies, be sure to have something embarrassing, but not incriminating, in the other dummies.