As an answer to the question I asked -- "Is the mere mention of God sufficient to render something entirely religious in nature"? -- I guess I'll take that as a "no".
Knock yourself out. Never mind that your premise is unfounded.
They explicitly do precisely the opposite: they are carefully worded so as to allow for any definition of "Higher Power" that the individual may choose to go with. You are reading far too much into the use of the word, "God". It's a convenience.
No they aren't "carefully worded". They are Weaselly Worded, but very poorly, as they are still obvious Christian references. And it's not a "convenience" either. I don't have to "read into it", because the statements are so blatantly explicit.
I will concede that "GodAsWeUnderstandHim" defaults to the God of the Bible in a culture where Christianity is the predominant religion -- but in the same sense, the claim so often made by fundamentalists would have to be accepted as true: the US is a Christian nation.
It's not a "default" when it is actually the explicit verbiage of Protestants. AA was originally founded by Protestants, for Protestants. Therefore your analogy to the claims of Fundamentalists is as specious as your other analogy.
There can be little question as to the identity of "The Creator" mentioned in the Declaration of Independence -- but this is not mere mention; it is the very foundation stone of the entire document. The colonists were not merely claiming that they had rights to life, liberty, and the pursuit of happiness; they were claiming that they had been endowed by their Creator with unalienable rights to these. Everything that followed was built upon that moral principle.
So now, after attempting to (unsuccessfully) tar me with the Fundamentalist Brush, you turn right around and fall into the trap you set for me

. I'll give you the benefit of the doubt that you just "forgot" that the vast majority of the Founding Fathers were Deists, not Christians, and that the "God" referred to in the Declaration of Independence was EXPLICITLY Nature's God, not Jehovah:
Declaration of Independence:
When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation
It seems reasonable that we try to differentiate "religious" from "religion", but you seem to be making a distinction here that is not clear to me. What you have just provided sounds to me like the definition of a sect. Is AA a sect?
Assuming again, that you haven't bothered to read my earlier posts (which is the best spin I can put on it), AA is a
Religious Support Group for Alcoholics.
Is a Christian Youth Group a Sect? How about a Christian Lobbyist Group? Or a Christian School? If those organizations fit YOUR definition of "sect", I have to wonder what dictionary your looking in.
For all practical purposes and in a Nutshell, a religion is the worship of a Deity.
But
a specific deity (or deities, as in Hinduism) -- right?
Close...As in the Protestant Christian Deity.
I've seen about a zillion people come into AA and experience it up close and personal -- bringing all of their personal biases, social conditioning, religious notions, etc along with them -- and head right back out without ever really hearing a word of what was being said. "Like this cup", Nan-in said, "you are full of your own opinions and speculations. How can I show you Zen unless you first empty your cup?"
So, after dismissing my arguments because you presumed I had no experiences, you now dismiss my arguments because my experiences don't count

(compared to yours I suppose).
How dishonest can you get? Now you know why I prefer not to argue from anecdote.
And an examination of a broader historical record will demonstrate that most of what is commonly perceived as "Christion Doctrine" turns out to have been borrowed from earlier traditions. Perhaps it is simply a matter of convergence; some ideas are simply more likely than others to gain popularity. The Golden Rule is one example. The idea of blood sacrifice is another. The idea of God using his magic to inseminate a human virgin so she could give birth to him so he could become his own son and offer himself to himself as the blood sacrifice to end all blood sacrifices -- that's a fairly unique twist (except for the first part), but as far as I can see, accepting this as truth is the one thing most critical to "becoming a Christian".
The historical context for
AA is that it was founded on Protestant Christian Doctrines. That some of those Christian doctrines were borrowed from other Religions centuries ago isn't relevant to the discussion at hand. It's a Red Herring.
There are some in AA for whom this works (and enduring them can be a chore) but great care was taken to allow for those for whom this doesn't work.
Yes, I concur that there are
some (a few) people that benefit from a Christian Support Group for Alcoholics. I have never said there weren't any.
But as is apparent from the actual wording of the Steps, very
little care was taken to allow for those for whom it doesn't work.
Yes, it is true that in some local chapters, some words are changed in an attempt to remove the "God stuff" to achieve more Universalism and/or Secularism, but that can't hide the fact that the Steps are still inherently the same Protestant Steps disguised to placate non-Christians.
Nor does it change the fact that the Official Website of the Parent Organization posts the Original Protestant 12 Steps on their website.
By the way, in Catholicism Confession is taken by a priest.
So I've heard. And in psychotherapy, it is to one's therapist that one gives up his secrets. Those who actually endure the trauma of the fifth step in AA (or the analogous process in psychotherapy), and do so with someone who has some experience, may be informed that some of the guilt that has plagued them is guilt which does not rightfully belong to them. An inability to recognize the point at which one's own responsibility ends and someone else's begins may not be a vital aspect of alcoholism, but they do tend to go together a lot.
I suppose a Catholic priest might be able to help with that as well, but my view from a distance gives me the impression that it's probably somewhat rare, as those guys have a reputation for thriving on other people's guilt.
Well you didn't quote my complete statement at that point. And the 5th Step is
the big Confession Step. And your statement seems one of your least disingenuous statements. But Steps 6 & 7 demonstrate that thriving on guilt is not confined to Catholic Priests:
5. Admitted to God, to ourselves, and to another human being the exact nature of our wrongs.
6. Were entirely ready to have God remove all these defects of character.
7. Humbly asked Him to remove our shortcomings.
I don't believe in "God's Grace", but I do think there can be something powerful and very healing in letting another human being see into those places we usually keep hidden, and talking about those things we usually don't like to talk about. Especially if you've got your head on straight enough to permit you to make wise choices about whom you can trust (and also if you don't find the experience so rewarding that you experience a need to do it all the time; I've seen that happen, and it can be nauseating to watch).
Fair Enough

. Probably the most reasonable of all your statements in this particular post. I couldn't agree more with this. No Woo, No Religion, No Confession, just a Sharing of Pain and Suffering.
One can get this from a wholly secular non-12 Step program (say, Rational Recovery for example), or from a trusted friend, psychiatrist, or counselor. If this is the key, the Religious 12 Step program is not only unnecessary for Non-Christians, it can actually be detrimental to them, pushing people away who really do need help.
GB