Your hypothetical President, Congress, and Supreme Court installed by an invading army would not have been elected or appointed under the Constitution. The current President, Congress, and Supreme Court were elected or appointed under the Constitution.
If you believe otherwise, then I am not sure what you accomplish by asking the Supreme Court to also ignore the Constitution.
The Brunson case effectively calls Treason on POTUS, congress, and arguably against itself.
I'm more of the thinking that SCOTUS will either deny cert or accept cert with plans to argue against Brunson's case. This is required for the next steps to proceed to take the country back for The People.
My point about an invading army was just to discern what's the difference in result between an obvious invasion from one that was covert - answer? None.