Trump has too much respect for the Constitution and the example of our Founding Fathers to use the Insurrection Act martial law under these circumstances.
Perhaps Trump will leave office quiet if the court and Congressional challenges fail. But the USA is doomed to rule by a leftist oligarchy, perhaps for decades. The Bill of Rights will be as meaningless as guarantees of rights in the Soviet constitution.
You may be correct. Pray you are wrong. I have said many times that correcting this problem will be much easier and with less violence from the top than from the street level.