Closing down Guantanamo and bestowing constitutional rights on enemy combatants are two different things.
Once again your strawman falls miles short.
No they are not at all. They are the same thing. We moved detainees to Guantanamo on the grounds that no one had sovereignty and so the military command could do anything they wanted. Once Guantanamo is closed the detainees have to be moved somewhere, and anywhere else in the world there is no question about sovereignty or jurisdiction. If it is not on US soil, even a US territory there is clear legal jurisdiction. If it is anywhere else, someone else is sovereign and their laws prevail.
The constitution I took an oath to defend does not have executive holidays in it.