Atwood is on record as saying that everything that happens in The Handmaid's Tale has happened somewhere in the world within the 50-100 years that preceded her writing it. While Iran may have been an inspiration, it was not the inspiration, and she has many times spoken of things that have taken place in the USA and found their way into the book.

She might be, but what she's actually written in the book is bible not koran references...

Nope. A Christian theocracy of Puritan values.

From Atwood herself (https://lithub.com/margaret-atwood-on-how-she-came-to-write-...)

"The deep foundation of the United States—so went my thinking—was not the comparatively recent 18th-century Enlightenment structures of the Republic, with their talk of equality and their separation of Church and State, but the heavy-handed theocracy of 17th-century Puritan New England—with its marked bias against women—which would need only the opportunity of a period of social chaos to reassert itself."

https://lithub.com/margaret-atwood-on-how-she-came-to-write-...

From Atwood herself:

"The deep foundation of the United States—so went my thinking—was not the comparatively recent 18th-century Enlightenment structures of the Republic, with their talk of equality and their separation of Church and State, but the heavy-handed theocracy of 17th-century Puritan New England—with its marked bias against women—which would need only the opportunity of a period of social chaos to reassert itself.""

"Like the original theocracy, this one would select a few passages from the Bible to justify its actions, and it would lean heavily towards the Old Testament, not towards the New.

[...]

Surely the Gilead command would have moved to eliminate the Quakers, as their 17th-century Puritan forebears had done."

"I made a rule for myself: I would not include anything that human beings had not already done in some other place or time, or for which the technology did not already exist. I did not wish to be accused of dark, twisted inventions, or of misrepresenting the human potential for deplorable behavior. The group-activated hangings, the tearing apart of human beings, the clothing specific to castes and classes, the forced childbearing and the appropriation of the results, the children stolen by regimes and placed for upbringing with high-ranking officials, the forbidding of literacy, the denial of property rights—all had precedents, and many of these were to be found, not in other cultures and religions, but within Western society, and within the “Christian” tradition itself. (I enclose “Christian” in quotation marks, since I believe that much of the Church’s behavior and doctrine during its two-millennia-long existence as a social and political organization would have been abhorrent to the person after whom it is named.)"