On one side is America Rising, a Republican PAC and rapid-response operation — which is putting out an e-book rebuttal called Failed Choices — and the GOP, which sent out a "briefing book" this week to its supporters, disputing Clinton's writings on the Benghazi attack that killed American diplomats and the U.S. relationship with Russia during her tenure as Secretary of State.

On the other side is Correct the Record, part of the American Bridge political action committee, which sent out a memo Monday identifying and rebutting Republican criticisms of the book, including Clinton's account of the Benghazi attack that killed American diplomats. "The right wing falsely equates every hard choice to a bad choice,'' director Isaac Wright says in the memo.

Both sides try to influence news stories, offer surrogates to attack or defend Clinton in radio and TV interviews, and use social media to spread their messages. And for both sides, Clinton's book tour is a dry run for the presidential race she has said she is considering.