There is a country where your criminal case can be dropped by signing military contract. Does it mean you can “drop” country leader and get away with it?
No. Military service in place of prison isn't elective, you still need the state to allow it. Even then you would be completely free, you likely wouldn't get leave for a while, and a discharge could put you into prison.
Iirc you can give a nom de guerre and they don’t ask questions, but if you want to move past a certain rank, you have to normalize relations and any open criminal cases with your original country of citizenship (though I’m sure there are exceptions, like if you’re an Afghan national and, you know, don’t want to be executed by the Taliban).