• With: Sen. John McCain, R-Ariz.

    This is a rush transcript from "Your World," November 27, 2012. This copy may not be in its final form and may be updated.

    NEIL CAVUTO, HOST OF "YOUR WORLD": U.N. Ambassador Susan Rice meeting face to face with her toughest GOP critics today on Benghazi and let's just say things didn't go too well.

    (BEGIN VIDEO CLIP)

    SEN. JOHN MCCAIN, R-ARIZ.: We are significantly troubled by many of the answers that we got, and some that we didn't get.

    SEN. LINDSEY GRAHAM, R-S.C.: And if you don't know what happened, just say you don't know what happened. People can push you to give explanations, and you can say, I don't want to give bad information.

    (END VIDEO CLIP)

    CAVUTO: One of those critics, Senator John McCain, is here and only here.

    Welcome, everybody. I am Neil Cavuto.

    If Ambassador Susan Rice thought today's meeting would clear the air on Benghazi, she was sorely mistaken, because Senators John McCain, Lindsey Graham and Kelly Ayotte now say they are more troubled than ever, and that is spelling some trouble for the woman who might just be our next secretary of state.

    The same person who initially blamed an anti-Muslim film for fueling a spontaneous demonstration at the U.S. Consulate in Libya and not a planned terrorist attack, an attack that left U.S. Ambassador Chris Stevens and three other Americans dead. And today the senators are demanding answers.

    In a first on Fox, Arizona Republican Senator, former presidential candidate John McCain, who was that meeting. Senator, you didn't seem to get a lot out of that.

    MCCAIN: No, I didn't, not what I had hoped.

    And, by the way, I thought you were the sexiest man alive, according to Time.

    (CROSSTALK)

    CAVUTO: I was annoyed by that. I was encouraged, senator, that he is a bit chunky. This could be paving the way, but enough about me.

    (LAUGHTER)

    MCCAIN: Well, maybe you were separated at birth.

    CAVUTO: Well, that's fine.

    (CROSSTALK)

    CAVUTO: This is going to be a tough interview now, Senator. It would have been nice, but you have gone the other way.

    (LAUGHTER)

    CAVUTO: This frustration, she actually called for the meeting, right?

    MCCAIN: Yes.

    CAVUTO: I thought it would be a good idea to talk to the Republican leaders, yourself included. And it seemed to boomerang. What happened?

    MCCAIN: Well, some of the answers were hard to understand and some of the information she had access to clearly contradicted the statement that she made.

    And, by the way, today, after all this time, she issued a statement, and in that statement, she said she had given false information to the wrong -- to the American people about the spontaneous demonstration, which obviously never took place. For example, she also said on nationwide television that Al Qaeda was decimated.

    That is just patently false. I asked why that that statement should be made to the American people, and she really had no good answer for it. There was lots of classified information that she gets briefed on daily that indicated that this wasn't a hateful video that sparked a spontaneous demonstration.

    I still don't understand why anyone would believe when you come with mortars and rocket-propelled grenades how that could possibly be viewed as a spontaneous demonstration. There are a lot of layers to this onion.

    CAVUTO: We tried for Ambassador Rice. We did get a statement from her office, Senator, quoting here -- "While we certainly wish that we had had perfect information just days after the terrorist attack, as is often the case, the intelligence assessment has evolved."

    What do you think?

    MCCAIN: Well, that is another big question in this whole scenario. Why would it have evolved?

    There were people who were survivors who were flown to Germany who were interviewed by the FBI. And they told -- they said, absolutely, there was no demonstration. Yet, for a couple of weeks, the intelligence community seemed to be wrestling with signal intelligence and other classified information that they had, which led them to wait two weeks before they could come out and say that there was no spontaneous demonstration, that this was a planned attack by Al Qaeda.

    Again, who changed the talking points that was used by Ambassador Rice? And why? And on what circumstances? Why was reference to Al Qaeda left out? There are so many things that have happened. And the interesting thing is, finally, Neil, we knew within hours of all the details when we got bin Laden in the raid there, every bitty one of them. They are making a movie out of it.

    And here we are 10 weeks later, and finally our ambassador to the United Nations who appeared on every national Sunday show has now said that she gave false information concerning how this tragedy happened as far as the spontaneity of a demonstration triggered by a hateful video.

    CAVUTO: Well, the president got upset by yours and others going after her, saying that if you have a problem, you should go after him. And you pointed out in a prior visit here that she was the person they put out on all these weekend shows right after the attacks. Do you think she was the right person?

    MCCAIN: Well, she admitted herself and the president said that she had nothing to do with Benghazi.

    That is another question that needs to be asked. Why was she sent out if she really had nothing to do with Benghazi? But, also, there was clear classified information that indicated that this was a terrorist attack from the beginning.

    Look, how could the FBI possibly not tell the CIA what the survivors said within two days after the tragedy? And that is that there was no demonstration? It's mind-boggling, some of it.

    CAVUTO: Now, she might be the president's choice to succeed Hillary Clinton as secretary of state. If that were the case, would you support her?