TVD,
They always used classical language, not generic language. Where is the quote GW specifically mentioned Unitarian chaplains?

Jon: “There was nothing in the founding scheme that guaranteed the states would promote “Christianity” to the exclusion of other religions in the “religio[n] is left to the states” model.”
bman: “That seems correct since religion was left to the states.”
——

Some additional clarification.
I understood your post to mean, “There was nothing in the founding scheme that guaranteed the states would [continue to promote] Christianity to the exclusion of other religions.”
The founders certainly knew the state governments to be distinctively Christian at the time of the 1787 convention, and had every reason to think they would remain so for the foreseeable future.
Virtually every state had a distinctively Christian government at the time, which can be largely verified by the Conservapedia article on Original State Constitutions.
As to the more distant future, John Adams and Benjamin Franklin thought the government they formed would last until the people became morally corrupt. As follows,

Benjamin Franklin: “….[I] believe farther that this [Constitutional government] is likely to be well administered for a course of years, and can only end in Despotism, as other forms have done before it, when the people shall become so corrupted as to need despotic Government, being incapable of any other.”
John Adams: “Our Constitution was made only for a moral and religious people. It is wholly inadequate to the government of any other.”

From that perspective, whoever defends Christian values in society effectively defends the American view of government in the same process.

“The writings of the framers contradict the assumption they rejected biblical inerrancy.”
Jon : LOL.
“”To which I may now add, that the[re are] several Things in the old Testament impossible to be given by divine Inspiration, such as the Approbation ascrib’d to the Angel of the Lord, of that abominably wicked and detestable Action of Jael the Wife of Heber the Kenite. If the rest of the Book were like that, I should rather suppose it given by Inspiration from another Quarter, and renounce the whole.”
– Ben Franklin.”
Notice at the top, Jon wrote “framers” then posted an opinion by one man. Thank God framers includes more than one man.

“The framers said the context of religion is to the states and the states formed Christianity, especially Virginia, where TJ established Christianity over other false religions:…”
And Jefferson apparently understood the VA Statute that he authored differently than OFT does:
— The bill for establishing religious freedom, the principles of which had, to a certain degree, been enacted before, I had drawn in all the latitude of reason and right. It still met with opposition; but, with some mutilations in the preamble, it was finally passed; and a singular proposition proved that its protection of opinion was meant to be universal. Where the preamble declares, that coercion is a departure from the plan of the holy author of our religion, an amendment was proposed, by inserting the word “Jesus Christ,” so that it should read, “a departure from the plan of Jesus Christ, the holy author of our religion;” the insertion was rejected by a great majority, in proof that they meant to comprehend, within the mantle of its protection, the Jew and the Gentile, the Christian and Mahometan, the Hindoo, and Infidel of every denomination. —

“”And Jefferson apparently understood the VA Statute that he authored differently than OFT does:
– The bill for establishing religious freedom, the principles of which had, to a certain degree, been enacted before, I had drawn in all the latitude of reason and right. It still met with opposition; but, with some mutilations in the preamble, it was finally passed; and a singular proposition proved that its protection of opinion was meant to be universal. Where the preamble declares, that coercion is a departure from the plan of the holy author of our religion, an amendment was proposed, by inserting the word “Jesus Christ,” so that it should read, “a departure from the plan of Jesus Christ, the holy author of our religion;” the insertion was rejected by a great majority, in proof that they meant to comprehend, within the mantle of its protection, the Jew and the Gentile, the Christian and Mahometan, the Hindoo, and Infidel of every denomination. –””
All this says is free exercise is for all.

have assumed dominion over the faith of others, setting up their own opinions and modes of thinking as the only true and infallible, and as such endeavoring to impose them on others, hath established and maintained false religions over the greatest part of the world
Read the entire passage with
“false religion” = Roman Catholicism
in mind.

You are arguing semantics because you don’t like the words, which does not erase the identity of the judge of the world. For instance, the word “redeemer” is a title of a person, and all the framers knew who that person was. Living in a Christian nation as the colonists did, they did not have to name Jesus Christ in every instance, even though sometimes they did.
The framers said the context of religion is to the states and the states formed Christianity, especially Virginia, where TJ established Christianity over other false religions:
“Well aware that Almighty God hath created the mind free; that all attempts to influence it by temporal punishments or burdens, or by civil incapacitations, tend only to beget habits of hypocrisy and meanness, and are a departure from the plan of the Holy Author of our religion, who being Lord both of body and mind, yet chose not to propagate it by coercions on either, as was in his Almighty power to do; that the impious presumption of legislators and rulers, civil as well as ecclesiastical, who, being themselves but fallible and uninspired men, have assumed dominion over the faith of others, setting up their own opinions and modes of thinking as the only true and infallible, and as such endeavoring to impose them on others, hath established and maintained false religions over the greatest part of the world, and through all time; that to compel a man to furnish contributions of money for the propagation of opinions which he disbelieves, is sinful and tyrannical.” [bold face mine]
–VA Act for Religious Freedom

If you look at the photocopied Congressional documents at this link you’ll find a very strong affirmation of Christianity dated March 1776, a few months before the Declaration of Independence was signed .
Excerpt:

“…to confess and bewail our manifold sins and transgressions, and by a sincere repentance and amendment of life, appease his [God’s] righteous displeasure, and through the merits and mediation of Jesus Christ, obtain his pardon and forgiveness….”

Notice the declaration specifically mentions Jesus Christ.
Your article suggests the Declaration of Independence was “deist.”
It seems odd, however, that Congress would have changed their religion from Christianity in March 1776 to deism in July 1776!
Additionally, there is another photocopied document dated December 1777 where Congress again mentions God, Jesus, and the Holy Ghost when they issued a Thanksgiving proclamation,

“….that it may please God, through the merits of Jesus Christ, mercifully to forgive and blot them out of remembrance…to prosper the means of religion for the promotion and enlargement of that kingdom which consisteth in righteousness, peace and joy in the Holy Ghost..”

Are we to suppose the Congress was at first Christian in March 1776, switched to deism by July when the Declaration of Independence was written, and switched back to Christianity again by December 1777?

Jefferson did not invent the term “Nature’s God.”

“Read the entire passage with
“false religion” = Roman Catholicism
in mind.”
Even if the context is Catholicism, the Christian nation thesis is still intact via the States. Virginia established a Christian state no matter what TJ’s opinion is.