"The McCain team had sent out the message that Todd and I were giddy happy to become grandparents! And I was shocked when I saw that statement, because I said, 'No, no, no, no. That's not the message that we want to send,'" Palin told Walters. "I had seen what they were going to say and, and crafted my own message, and say, 'No, this is more appropriate.'"
From Tina Fey's iconic portrayal of Palin on "Saturday Night Live," ridicule has followed Palin -- and members of her family.
In June, late-night talk show host David Letterman made a joke, which seemed to be directed at 19-year-old Bristol, an unwed mother. Letterman later apologized.
But Letterman continued to lampoon Palin on his program, taking jabs at her new book, with a skit entitled, "Things More Fun Than Reading The Sarah Palin Memoir." Palin told Walters she would not appear on "The David Letterman Show."
"I don't think that I'd want to boost his ratings," she said. "I do want him to sell my book, though, so I hope he keeps it up."
Bristol and Johnston called off their engagement soon after their son Tripp Easton Mitchell was born. Since then, Johnston accused Palin of calling her son Trig "the retarded baby," among other jabs.
"That's heartbreaking to know that he would say such a thing. ...and, and that's not true," Palin told Walters.
Johnston has also alleged that the Palins are on the verge of divorce -- accusations which Palin denied to Walters.
"Todd and I have been together -- he was 16, I was 17 -- for many, many years. We've been married many, many happy years, and we remain a solid, happy, blessed couple," she said.
With Palin's new book to hit stores Tuesday, Johnston has said that Palin was wise not to speak ill of him in her memoir, because, "she knows what I got on her."
"He doesn't have anything on me," Palin told Walters.
Palin said that when Bristol and Levi announced that she was pregnant, it was only the second time she had seen Levi in the living room.
"We didn't see a lot of Levi. Bristol told us that she was pregnant, and ... that was probably the only, only the second time that we had seen Levi there in our living room, having a conversation with us like that," she said.
Johnston has claimed that he will sue for joint custody of their 10-month-old son -- a move which Palin says she would applaud.
"Well, it will be nice to see, in, I guess, even in, in legal proceedings, a desire to be a part of the baby's life," she said. "That's a good sign."
Johnston has catapulted himself into the media spotlight, posing for Playgirl magazine last week and making public appearances. When asked if Johnston has contributed any of his profits to child support, Palin demurred.
"Levi's making some irresponsible decisions right now with money, and with career. I guess his handlers are sort of ushering in, him into this new line of work, with the, with the porn, and with the things that he's involved in right now. He's a kid who's misguided, and he's kind of lost right now," she said.
But, despite the crossfire, Palin seemed to suggest that he would always have a place in the family.