I think it's more accurate to say that NO war is religious in nature. Wars are HUMAN by nature. Part of living in a fallen world, I suppose. (YMMV, of course...)
Once again, search and peruse the information online related to Just War Theory. It will hopefully 'splain things in a manner far superior to that which I am able to.
:) ttt
--- Arthur Koestler on fanaticism: ---
"The continuous disasters of man's history are mainly due to his excessive capacity and urge to become identified with a tribe, nation, church or cause, and to espouse its credo uncritically and enthusiastically, even if its tenets are contrary to reason, devoid of self-interest and detrimental to the claims of self-preservation.
We are thus driven to the unfashionable conclusion that the trouble with our species is not an excess of aggression, but an excess capacity for fanatical devotion. "
Absolutely correct. Religion, politics, etc., are simply the excuse.
Your explanation was quite clear and needs no embellishment.