There's been great digs on Johnson v Eisentrager, despite, this stood out to me as key.
https://supreme.justia.com/cases/federal/us/339/763/#786
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The petition in this case alleges no fact showing lack of jurisdiction in the military authorities to accuse, try, and condemn these prisoners, or that they acted in excess of their lawful powers. Pp. 339 U. S. 785-790.
(a) The jurisdiction of military authorities, during or following hostilities, to punish those guilty of offenses against the laws of war is long established. P. 339 U. S. 786.
(b) It being within the jurisdiction of a military commission to try these prisoners, it was for it to determine whether the laws of war applied, and whether they had been violated. Pp. 339 U. S. 786-788.
(c) It is not the function of the Judiciary to entertain private litigation – even by a citizen – which challenges the legality, wisdom, or propriety of the Commander in Chief in sending our armed forces abroad or to any particular region. P. 339 U. S. 789.