The fact that we have to choose a specifically religious occasion and location in the case of the American text is in itself significant. True, American political rhetoric does include religious language, and religious speech acts. However, these are reserved to particular parts of the structure of public speeches, usually the conclusion.
There are clearly modifications one has to make about this statement. One is that in some western states politicians certainly have to take account of religious sensibilities, both in the negative direction of not offending any religious group and in the positive direction of favouring (maybe despite appearances) some particular group.