So what kinda of soldier would you like?
the one who runs away when faced with a bigger/stronger army or the one who fights fearlessly using his brain?
Soldiers are trained to fight and in fighting they know they can die, that is the path they chose! so if in serving their country and securing it from invader they die and get shahdah, would it be good or bad?
And i really did not get what you meant by "as narrowly as a Mulsim"? do you consider righteous Muslim to be a bad thing?
And No there is no specific definition, Jihad is Jihad but it has different levels, when you go to work, that is your jihad, when you try to leave bad habbits like smoking or drugs that is also Jihad, when you educate yourself that is also Jihad.. so my brother.. Army of Allah includes those who seek knowledge, those who earn halal living, those who fight for their country, those who restrict themselves from bad habits.. They are all Mujahideen.. The only requirement to be a mujahid is to be Muslim, then every bad thing you don't do or stop yourself from doing is considered Jihad
So even you (if you are a Muslim) are Mujahid in one way or the other.. and if you die in the line of your duty or accidently, you'll be shaheed..