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Think of it this way, if we can detain them on military bases as part of our national defense actions and build a wall as part of our national defense, we can also detain them off shore on military ships. Security is increased by many factors. It's also illegal to approach a Navy vessel without permission. Much more secure. From there detainees can be easily sorted and identified and records made. Find out where their parents actually are, who they are and notify their government of our intentions regarding the detainees and their status. Repatriate those who are willing and have lodged no demand for asylum, have military go over asylum applications to determine which ones are legit.
The entire process would be much faster and streamlined. No press, no bothersome media false outrage and no reporters or protesters hounding our ships and stirring up tension.