I assume that your process would only apply to US Citizens?
It is not my process. It is required by the constitution.
It applies to US citizens wherever they are arrested and applies to others if they are arrested on US soil. It probably does not apply to prisoners of war arrested outside the country. I am a little fuzzy on non-citizen prisoners of war arrested in the country. I know the WW2 German sabeteurs arrested on Long Island got court marshalled rather than a normal trial but I am not clear on whether that was right. We can have some fun debating that, but, for US citizens, there is no option. Anything else is an act of War on the people of the nation.