No. Timothy Dwight and Zedidiah Morse helped plan the Second Great Awakening.

Again, I point to Adams’ letters to Jefferson in which he wrote extensively against a national religion. He continued the state religion in Massachusetts because he didn’t have much choice, but his written letters indicate he was against it. He considered religion to have a moralistic value, but should not be part of the state.
You could say he evolved over the issue if you want to, but to say Adams supported religion as a function of state would be incorrect.

“The substance and essence of Christianity, as I understand it, is eternal and unchangeable, and will bear examination forever, but it has been mixed with extraneous ingredients, which I think will not bear examination, and they ought to be separated.”
These are the words of wise men.

I haven’t thought too much about Barber’s article and whether he argues the FA protects “Christianity” only.
Story’s sentiments speak of an “object” or a “purpose” of the FA. That’s well and good; but what’s more important is the actual original meaning of the text of the First Amendment. It uses the term “religion” not “Christianity.” And the two were not synonymous to the Founders.

Please note the above post and quotes contained wherein are directed at Ken. The quotes are easily found in Lester J. Cappon’s The Adams-Jefferson Letters are not made up and butchered messes like so many of the made up quotes of the Founders are, if such quotes were actually the words of the Founders themselves.