Your words, not mine.
Title 10 of the U.S. Code for the Armed Forces falls under the enumerated powers delegated to Congress in Art. I, Sec. 8. so it is irrelevant here.
The “administrative state” including NSA, makes regulations (effective as laws) and acts that are unlimited, centralized, and delegated to unelected bureaucrats, and is thus, flatly unconstitutional.
Just the US military alone cannot be run by the Constitution. It has no implementing guidance. No procedure. We are not talking issues of law. We are talking about "how to do what we do."
Do you realize the Constitution would be unreadable? It would require amendments every Friday?
I'd grab a constitutional lawyer or a professor or someone you trust that is an expert in this. What you are proposing is gibberish. In fact, I would post a topic on FR so that everyone can opine, and you would see the logic fallacy in your thinking.
Does the Congress do a poor job ensuring constitutionality? Yes it does. There cannot be two ways of interpreting the Constitution. There cannot be competing ideologies in determining what it says. There can be only one.
But to say all of the government can be run off of the Constitution and nothing else is crack-smoking lunacy. If that were the case, the founders would never have issued authoritative documents other than the Constitution. As it stands, history and reason is not in your favor. But go ahead and post the proposition for all to see.