Any way the constitution is supposed to guarantee habeas corpus. A piece of paper is doing a poor job at solving problems.
Times like these, I like to drop this quotation into the discussion:
But whether the Constitution really be one thing, or another, this much is certain - that it has either authorized such a government as we have had, or has been powerless to prevent it. In either case, it is unfit to exist.
(It should be noted that this was said almost 150 years ago. How much more true is it now?)