The following is a rush transcript of the January 30, 2010, edition of "Fox News Sunday With Chris Wallace." This copy may not be in its final form and may be updated.

CHRIS WALLACE, ANCHOR: Chaos in Cairo. What happens next for America's closest ally in the Arab world?

We'll get the latest from Egypt. We'll talk with Secretary of State Hillary Clinton. And we'll ask our panel what this means for U.S. interests in the Middle East.

Plus, now that Republicans control the House, what's their plan to shrink government, cut their deficit and get people back to work? We'll ask John Boehner in his first Sunday show interview since he was elected speaker.

All right now on "Fox News Sunday."

And hello again from Fox News in Washington.

We'll get to our interviews with Secretary Clinton and Speaker Boehner in a moment. But, first, the latest on the situation in Egypt -- for the sixth straight day, thousands took to the streets of Cairo and other major cities to protest the country's authoritarian government. President Mubarak named his intelligence chief, Omar Suleiman, vice president. But U.S. officials say Mubarak can't just reshuffle the deck and stand pat.

For more, let's bring in FOX News correspondent, Greg Palkot, who is live in Cairo -- Greg.

GREG PALKOT, FOX NEWS: Hey, Chris.

With protesters and security forces filling the streets here for yet another day in Cairo, the word to Americans is to stay clear. Cairo airport clogged today with tourists, trying to get out of the country. An official from the U.S. embassy here saying today they are telling Americans to not travel here if they don't have to, that U.S. diplomats and their families can leave if they wish, new flights to help with the exodus starting tomorrow.

Here in Cairo, it is a working day. It should be normal. It's anything but. We were out in the central square of this city, the flash point for a lot of the fighting in the last couple of days.

We have heard from protesters who continue to demand that President Hosni Mubarak leave. And we watch, by the way, as we listened to the Egyptian air force do runs across the city, we watch as 20 Egyptian army tanks rolled in the center of the square.

So far, at least, the relations between the army, the air force and the protesters have been OK so far. Not so, Chris, relations between the protesters and police, those two responsible for a lot of bloodshed in the last couple of days. Police have been pulled back and that's created yet another problem in security. In Cairo and throughout the country, looters have spotted in various neighborhoods, civilian militias. We have seen the shops and businesses close down. All the while, Chris, President Mubarak hoping that some of the changes that he has initiated in the last 24 hours could help things, including -- as you noted -- the naming of his very first in his 30- year rule, Vice President Omar Suleiman, head of the security here. He's considered a safe and secure hand but also considered a Mubarak crony. The word from the street so far, Chris, "unmoved."

Back to you.

WALLACE: Greg Palkot reporting from Cairo -- Greg, thanks for the update.

Joining us now from the State Department, Secretary of State Hillary Clinton.

Secretary, President Obama on Friday called on Mubarak to recognize the rights of the Egyptian people. Are you satisfied with the steps that Mubarak has taken so far?

SECRETARY OF STATE HILLARY CLINTON: Oh, I don't think anyone is satisfied -- least of all the Egyptian people, who have legitimate grievances and are seeking greater political freedom, a real path to democracy and economic opportunity. And for 30 years, the United States, through Republican and Democratic administrations, has been urging the Mubarak government to take certain steps. In fact, we've been urging that vice president be appointed for decades and that finally has happened.

But there's a long way to go, Chris. And our hope is that we do not see violence. We see a dialogue opening that reflects the full diversity of Egyptian civil society, that has the concrete steps for democratic and economic reform -- that President Mubarak himself said he was going to pursue -- and that we see respect for human rights for Egyptian people, and the kind of progress that will lead to a much more open, political, and economic set of opportunities for the Egyptian people.

WALLACE: Secretary, all of your answer has been couched in terms of President Mubarak. Does that mean that the Obama administration still backs Mubarak as the legitimate president of Egypt?

CLINTON: Well, we have been very clear that we want to see a transition to democracy. And we want to see the kind of steps taken that will bring that about. We also want to see an orderly transition.

Right now, from everything we know, the army has taken up positions. They are responding very positively, thus far, to the peaceful protest. But, at the same time, we have a lot of report of looting and criminal activity that is not going to be particularly helpful to what we want to see happen. And that has to be dealt with.

So, there are many, many steps along the journey that has been started by the Egyptian people themselves. We wish to support that.

WALLACE: Secretary, you talk about an orderly transition. How concerned are you that if Mubarak were to be suddenly thrown from power that the Islamic radicals could fill the void?

CLINTON: Chris, we want to see an orderly transition so that no one fills a void, that there not be a void, that there be a well thought-out plan that will bring about a democratic, participatory government.

And I also believe strongly that this is in Egypt's long-term interest. It's in the interest of the partnership that the United States has with Egypt.

So, that is what we are attempting to promote and support, because clearly, what we don't want is chaos. I don't think the Egyptian people want that. They want their grievances to be addressed. We also don't want to see a takeover that would lead not to democracy but to oppression, and the end of the aspirations of the Egyptian people.

So, this is an intensely complex situation. It does not lend itself to, you know, quick yes or no easy answers. But instead, I think the path that President Obama has charted that we are pursuing -- that calls for no violence, that support the aspirations and human rights of the Egyptian people, that stands behind concrete steps toward democratic and economic reform -- is the right path for all of to us be on.

WALLACE: Secretary, on Tuesday, after the protests had already started in Cairo, you said this:

(BEGIN VIDEO CLIP)

CLINTON: Our assessment is that the Egyptian government is stable, and is looking for ways to respond to the legitimate needs and interests of the Egyptian people.

(END VIDEO CLIP)

WALLACE: A number of protesters in the street said, based on that remark and other actions, that the U.S. was acting on the side of the regime, not of the protesters. Was that statement by you a mistake?

CLINTON: You know, Chris, we recognize the volatility of the situation. And we are trying to do exactly what I have just said: to promote orderly transition and change that will respond to the legitimate grievances of the Egyptian people, which is what the protesters are all about. I don't think anyone wants to see instability, chaos, increasing violence. That is not in anyone's interest.

So, what President Obama and I have been doing is sending a very clear message about where the United States stands. We want to see an orderly transition to a democratic government, to economic reforms, exactly what the protesters are seeking.

At the same time, we want to recognize Egypt has been our partner. They've been our partner in a peace process that has kept the region from war for over 30 years, which has saved a lot of lives, Egyptian lives, Israeli lives, other lives. We want to continue to make it absolutely American priority that what we've been saying for 30 years is that real stability rests in democracy, participation, economic opportunity.

How we get from where we are to where we know the Egyptian people want to be and deserve to be is what this is about now. So, we are urging the Mubarak government, which is still in power, we are urging the military, which is a very respected institution in Egypt, to do what is necessary to facilitate that kind of orderly transition.

WALLACE: And, briefly, Secretary, should Americans currently in Egypt leave the country?