This particular fact is rife for abuse, because as far as the Courts are concerned it's very hard to be unsuspicious and black at the same time.
What a pity, I thought you had more on the ball than going there, especially since it is nonsense. Well, ... it's worse than nonsense.
The Check that keeps this power from being abused isn't that some third party with unique legal knowledge (ie: the Courts) safeguards the people's rights, it's that there's a paper trail and any officer who has a habit of arresting people for no damn good reason is gonna have to explain himself to his superiors.
I guess you haven't heard of the JAG corp, military judges and magistrates, military courts, U.S. Court of Appeals for the Armed Forces, review of sentences, or much else involving military justice. Would it surprise you to learn you might be missing out on some inportant details?
None of that comes from the Constitution proper. It comes from statutes. And the rights granted under the statute are much more limited.
Members of the mlitary have Constitutional rights.