That is a very dishonest way to use that quote, and you have been corrected on this before. From my article "American Not A Christian Nation?":
John Adams, a key figure in the American Revolution and our second President, said that the principles upon which we achieved independence were "the general principles of Christianity":
The general principles upon which the Fathers achieved independence were the general principles of Christianity. . . . I will avow that I believed and now believe that those general principles of Christianity are as eternal and immutable as the existence and the attributes of God. (Letter to Thomas Jefferson, June 28, 1813)
In his first inaugural address, President Adams said,
I feel it to be my duty to add, if a veneration for the religion of a people who profess and call themselves Christians, and a fixed resolution to consider a decent respect for Christianity among the best recommendations for the public service, can enable me in any degree to comply with your wishes, it shall be my strenuous endeavor that this sagacious injunction of the two Houses shall not be without effect. (First Inaugural Address, March 4, 1797)
John Jay, the first chief justice of the U.S. Supreme Court, appointed by George Washington, called America a Christian nation:
Providence has given to our people the choice of their rulers. And it is the duty as well as the privilege and interest of our Christian nation to select and prefer Christians for their rulers. (Letter to Jedidiah Morse, February 28, 1797)
Benjamin Rush, a signer of the Declaration of Independence and who later served in the administrations of George Washington, John Adams, and James Madison, had this to say on the matter:
Such is my veneration for every religion that reveals the attributes of the Deity, or a future state of rewards and punishments, that I had rather see the opinions of Confucius or Mohammed inculcated upon our youth, than see them grow up wholly devoid of a system of religious principles. But the religion I mean to recommend in this place is that of the New Testament. (Of the Mode of Education Proper in a Republic, 1798, p. 88)
President John Quincy Adams, our sixth President and son of President John Adams, acknowledged the Christian foundation of America’s beginnings in a speech he delivered on July 4, 1837:
Is it not that, in the chain of human events, the birthday of the nation is indissolubly linked with the birth-day of the Savior? That it forms a leading event in the progress of the gospel dispensation? Is it not that the Declaration of Independence first organized the social compact on the foundation of the Redeemer’s mission upon earth? That it laid the corner stone of human government upon the first precepts of Christianity, and gave to the world the first irrevocable pledge of the fulfillment of the prophecies, announced directly from Heaven at the birth of the Savior and predicted by the greatest of the Hebrew prophets six hundred years before? (An Oration Delivered before the Inhabitants of the Town of Newburyport [Massachusetts], at Their Request, on the Sixty-First Anniversary of the Declaration of Independence, July 4th, 1837, by John Quincy Adams. Newburyport: Charles Whipple, printed by Morse and Brewster, 1837, pp. 5-6)
In 1854 the House Judiciary Committee said the following in a report on the meaning of the First Amendment and the separation of church and state:
Had the people during the Revolution had a suspicion of any attempt to wage war against Christianity, that Revolution would have been strangled in its cradle. At the time of the adoption of the Constitution and the amendments, the universal sentiment was that Christianity should be encouraged, not any one sect. Any attempt to level and discard all religion would have been received with universal indignation. . . .
But we beg leave to rescue ourselves from the imputation of asserting that religion is not needed to the safety of civil society. It must be considered as the foundation on which the whole structure rests. Laws will not have permanence or power without the sanction of religious sentiment—without a firm belief that there is a Power above us that will reward our virtues and punish our sins.
In this age there can be no substitute for Christianity; that in its general principles is the great conservative element on which we must rely for the purity and permanence of free institutions. That was the religion of the founders of the republic, and they expected it to remain the religion of their descendants. (Reports of Committees of the House of Representatives Made During the First Session of the Thirty-Third Congress, Washington: A. O. P. Nicholson, 1854; John Minor, The Bible in the Public Schools, Robert Clarke & Co., 1870, pp. 200-201)
America Not a Christian Nation