Holy War
"The three were also convicted of membership of Ansar al-Islam, a
jihadist group established in Iraqi Kurdistan with links to Al-Qaeda."
Islam
No such division has ever existed in the Islamic world, and consequently there cannot be a real division between wars that are "religious" from such that are "non-religious". Islam does not have any normative tradition of pacifism, and warfare has been integral part of Islamic history both for the defense and the spread of the faith since the time of Muhammad.
https://en.wikipedia.org/wiki/Religious_war