That sounds much more like the Anglican church.
It was already common in the time of the Teutonic order in the late 12th and early 13th Centuries, who provided both knights and clergy, usually of 2nd and 3rd sons, in support of the Crusades.
They were strongly funded by bequests from Christian leaders, which mattered, since funding was one of the limits of military anything at the time, eventually leading to hiring mercenaries to fight wars as they were far cheaper than having a standing army.