Firstly, "non-sectarian" doesn't mean "non-christian". "Sects" and "denominations", as quoted from that preamble, mean subdivisions of christianism, and probably the extremists you mention are such subdivision (perhaps not formally, but in essence).
Of course, atheists and agnostics wouldn't need a prayer at all (or at most the agnostic "dear god, if you exist, save my soul, if I have one"). Update: However, I think Al-anon work (or other "staying healthy/sane/clean" efforts) needs a lot of mental strength, and if you believe in a superior being, prayer might help with that (Efficacy of prayer can't be measured scientifically, but they try anyway)
That said, there certainly are different views of "thy kingdom". I think, even the baha'i view as presented in WP is compatible with the "general" christian view.
And generally, all these words are substitutes themselves. "On earth" includes celestial bodies (since "heaven" is distinct from "sky"), and so "daily bread" is just a stylistic variant of "daily meal".
In reply to Re: making the Vater Unser non-sectarian using Text::Template
by soonix
in thread making the Vater Unser non-sectarian using Text::Template
by Aldebaran
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