Updated

This is a rush transcript from "Your World," April 4, 2014. This copy may not be in its final form and may be updated.

(BEGIN VIDEO CLIP)

UNIDENTIFIED FEMALE: Pay the penalty, because, throughout the year, I -- honestly, you never know what's going to happen within this year, but I don't think I will be using it as much.

UNIDENTIFIED MALE: A lot of people can'tafford it.

UNIDENTIFIED MALE: I have checked out the pricing, and I think some of the prices for like -- for me are kind of expensive.

(END VIDEO CLIP)

NEIL CAVUTO, HOST: Interesting that the young and the insured-less are, well, largely still insured less. When it comes to the White House looking more and more for support, they're not exactly climbing on board.

From the health care penalties, to the broken promises, the administration is not exactly winning over younger Americans.

But can Republicans do that?

To Mike Huckabee on how the Grand Old Party can at least try to woo them.

Governor, good to see you.

MIKE HUCKABEE, R-FORMER ARKANSAS GOVERNOR: Thank you, Neil.

Great to be here.

CAVUTO: That's the rap against Republicans, that they -- you know, they can't take advantage of what clearly is in this case a very annoyed base of Democrats.

HUCKABEE: Very annoyed, and understandably so. There's not a good job market. They have huge student loans. They can't pay them off. They're still living in their parents' basements because that's the only place they can afford right now.

They're being forced to buy insurance that in some cases they don't want, in other cases they can't afford. And they feel like their privacy rights are being violated. That's very important to young people and that they're being snooped on. They have spent their whole lives trying to be adults so their parents wouldn't snoop on and then it turns out the government is snooping on them.

CAVUTO: You know, you're right. That comes up with all of these tech surveys and all.

HUCKABEE: Absolutely

CAVUTO: That's the biggest game-changer with the young and what made them restless.

HUCKABEE: It's very, very frustrating, because even though there is a certain irony here -- they will put ridiculous things of themselves on Facebook, Twitter, and text messages that really are embarrassing.

CAVUTO: Right.

HUCKABEE: But then they don't want someone spying on them. And you understand that, because it's one thing to say, here's what I want the world to know, but I don't want to world to make the decision. I want to make the decision as to what they know.

CAVUTO: Well, the bloom is off the Obama rose to that, when you look at them and you see what they're doing, and just by the sheer numbers who are opting out of this health care law, maybe in large part because some of them don't feel they need it and they're indestructible, blah, blah, blah.

But there might be something else going on. If you were to run for president, Governor, and polls in Iowa look very good for you, how would you reach out to young people?

HUCKABEE: I think one thing you do is remind them that we have got to get back to an understanding of the rule of law.

Constitutionally, tell them, look, we're -- we're not going to be snooping after you, because it's unconstitutional. Remind them that that is why conservatism really is pretty appealing when you think about it. It's protecting your income, protecting your capacity to get a job

CAVUTO: Yes, but all those guys -- we were just showing a poll as you were talking, Governor, and they're -- those other conservatives on that list might say, aha, he's soft on terror.

HUCKABEE: No, it's not about being soft on terror. It's about being strong on liberty.

You don't have to give up liberty to be against terror. I think that's nonsense. You don't go after law-abiding people in order to protect them from lawbreakers.

CAVUTO: Well, where, as president, would you distinguish?

HUCKABEE: Well, who knows whether that will ever happen.

But what I think you do, if you have just case cause to believe that Neil Cavuto is perhaps engaging in conversations with some foreign governors -- governments or maybe terrorists, all right, it's one thing. We go to a judge, we follow the process and procedure, we get a warrant, we tap your phone.

But we have probable cause. We don't just take everybody's phone, listen in, store the calls.

CAVUTO: So, you wouldn't be wanting to cast these wide nets?

HUCKABEE: I don't think we have the legal right to do that as a government.

We can't just go and snoop on everybody because of what we might someday find. That's -- that violates everything that we're supposed to be protecting. If we say, don't let the terrorist win, well, they win if we shred the Constitution in the process of protecting us.

CAVUTO: You know, we were talking during the break, and these polls out of Iowa and all, they confirm a trend that is not going away, Governor. I know you're a pretty modest guy, but you're always at or near and in this case clearly at the top of this latest one.

But you must be registering, because now people who tried to ignore you are now criticizing you.

(LAUGHTER)

CAVUTO: And they're saying, yes, but he appears and appeals to a certain sect, or the religious or the far right. He's not really serious.

How do you answer that?

HUCKABEE: I don't, because it's not right now important for me to try to answer every critic. I want to talk about the things that are important to me.

(CROSSTALK)

CAVUTO: Well, let's -- hypothetically, if they say, he couldn't be a serious run for president because, well, he is a well-known name, he appeals to a base, you say what?

HUCKABEE: I say, look, if I were to run, it's not because I have been on television. It's because I governed a state effectively and successfully for 10-and-a-half years, and I did it in a very, very blue state; 89 percent of my legislature was Democrat.

CAVUTO: Is that right?

HUCKABEE: I was Republican in the bluest state in America. My legislature was...

(CROSSTALK)

CAVUTO: I thought Chris Christie said his was the bluest state.

HUCKABEE: No, on, at the time, there was no state that had a more lopsided legislature, not Massachusetts, not Maine, not Vermont. It was Arkansas. So, I understand...

CAVUTO: Do you think Christie is finished, by the way?

HUCKABEE: No, I don't.

CAVUTO: Really?

HUCKABEE: I think that this whole Bridgegate thing is -- the press has been blown it up into something. Nobody has been able to put his fingerprints on anything, and until they do, it's noise.

CAVUTO: But he hasn't rebounded.

HUCKABEE: Well, but it -- it's too early to worry about it.

CAVUTO: OK.

HUCKABEE: I think he is still in the hunt.

CAVUTO: All right.

Well, you will announce here, I know that, because you have given me...

(LAUGHTER)

HUCKABEE: Why not?

CAVUTO: ... your word. Whatever.

(LAUGHTER)

CAVUTO: All right.

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