Atwood is on record saying the inspiration is Iran 79's Islamic revolution.

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...