The temptation is to regard military and legislative chaplaincy as somehow equivalent, but theyre not. The latter can readily be assimilated under the somewhat problematical rubric of "ceremonial deism." The former is essential to provide for the free exercise of religion for soldiers who serve their country in places where they dont readily have access to their own churches. Calling for purely "sectarian" prayer is a harder (but not impossible) case to make in the first instance. In the second, while a chaplain signs on to minister to people of all faiths, he or she also plays a traditional pastoral and ministerial role. Praying in Jesus name is part and parcel of that for those who feel called to do so. Prohibiting or discouraging that limits their free exercise of religion. Accommodating it doesnt amount to an establishment by any reasonable definition.