A few new enemies are born

If we're so morally right in our kidnap and detain strategy, what do we have to lose by providing our detainees with the right of habeas corpus?

Also, please note the text of the 14th amendment:

Section 1. All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside. No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

Note the strategic, certainly intentional use of person rather than citizen.