Do you have a source for that? My understanding is that otherwise inadmissible evidence can be used in a grand jury hearing, but you are still free to "plead the Fifth" in front of a grand jury without being held in contempt. Meaning, if you were previously compelled to self-incriminate, that might not be admissible in your trial, but it would be admissible in a grand jury hearing (same for the Fourth and Sixth).
Now, the Fifth only guarantees protection against self incrimination, so I assume you could still be held in contempt for refusing to incriminate others.
> He was indicted by a federal grand jury in 2009 on charges related to resisting a federal grand jury investigating local illegal animal rights activities, mainly concerning fur farm raids in Utah. He was jailed for nearly four months under a contempt of court order to compel him to testify.
After reading some of your sources, it doesn't appear to me that anyone was held in contempt for exercising their Fifth Amendment rights. Rather, they seem to have refused to cooperate with the Grand Jury at all [1]. You can be compelled to cooperate with the government to incriminate others so long as you aren't compelled to incriminate yourself.
[1]: Perhaps for good reasons -- it seems people are fighting against what appears to be an over-reach of Grand Juries. But that would just be an example of civil disobedience, which often carries the risk of jail time, not an example of the Fifth Amendment not applying in a Grand Jury hearing.
Right, hence my 'I'm not a lawyer.' I guess I tend to associate 'not incriminate yourself' with 'not talking,' which is not true 100% of the time. Thanks for pointing out this difference.
The end result is the same, though, especially given the post I was responding to.
You don't have the right to "not talk." You're expected as a citizen to cooperate with the justice system. The 5th amendment protection from testifying against yourself is an exception to this general expectation.
Many activists have been held in contempt for not saying anything, and have served prison sentences for it.