Once they are arrested, or taken into custody, they have the right to be charged and appear before a judge within a specified timeframe. That is habeus corpus.
Suspending it means they don't have to be charged, and can be held indefinitely. It has nothing to do with the military.
But the posse comitatis act only applies to the army and air force being used for domestic law enforcement. It has nothing to do with habeous corpus. The PC act was originally passed after the civil war to prevent the continuing occupation of southern states by the army (the air force was added much later, but the navy and marines were not).
The pc act doesn't apply to the marines, navy or coast guard. They aren't a part of the law, but their own internal policies forbid them nonetheless (but those exist at the potus' pleasure).
Even ignoring that,PC only applies to domestic law enforcement. It was never meant to apply to defending the country against attack, even on domestic soil (otherwise, once an invading force crossed the border the military would be useless).
Framing it as an invasion gets around the act. That would eventually have to be determined by the courts. As would suspension of HC.
But this administration seems to believe the scotus will back him in these actions. I wonder why?
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