> refuses to testify to a secret closed door panel
Commonly known as "grand jury" and being the basic unit of US judicial system. You are welcome to rebuild the whole judicial system from scratch, but you'd be very naive expecting existing judicial system to cooperate with you on essentially ignoring the law. Usually people who tell judges they don't recognize the law and thus should be treated differently by the judicial system do not fare well. I personally don't believe a judicial system where everybody is free to ignore it at will can function. And thus any "sovereign citizen" types that decides to just ignore the law when it fits them are in trouble.
> She says she will testify in public about whatever they wish but not to secret proceedings
That's not how grand juries work. And the reason for that is that until there's reasonable assurance the crime has been committed or about to be committed, it is improper to publicize information about somebody being investigated, which may harm that person irreparably. If somebody suspects you in a crime, we'd want to be quite sure you're a criminal before we air your private information to the public and call you a potential criminal publicly. That's the function of the grand jury and that's why it closed.
If Manning has any information that needs to be shared, it can be shared independently, regardless of any grand jury. However, the contents of the grand jury proceedings should stay secret, because doing otherwise may harm innocent lives.