Donald Trump named his top two advisers yesterday, signalling an aggressive agenda and setting up what could be a battle within the White House between the populist, outsider forces that propelled his winning campaign and the party establishment that dominates Washington.

Trump, the United States President-elect, named Reince Priebus, the head of the Republican National Committee, as his chief of staff. In appointing Priebus, 44, Trump has brought into his White House a Washington insider who is viewed as broadly acceptable by vast swathes of the party, and he signalled a willingness to work within the establishment he assailed on the campaign trail.

But he sent an opposing signal by tapping Stephen Bannon, his combative campaign chief and former head of the incendiary Breitbart News, as his chief strategist and senior counsellor. Bannon, 62, has openly attacked congressional leadership, taking particular aim at House Speaker Paul Ryan - who recommended Priebus for his new job.

"I am thrilled to have my very successful team continue with me in leading our country," Trump said in a statement. "Steve and Reince are highly qualified leaders who worked well together on our campaign and led us to a historic victory. Now I will have them both with me in the White House as we work to make America great again."

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The announcement came as Trump highlighted some of his first priorities in an interview on CBS's 60 Minutes, vowing to "immediately" deport up to 3 million immigrants in the country illegally after he is inaugurated and to simultaneously repeal and replace President Obama's Affordable Care Act.

Trump's top two advisers could help him achieve different objectives. Priebus could help Trump notch early legislative victories in a Republican-led Congress and ingratiate himself with the insiders he claims to loathe but who dominate his transition team. A longtime lawyer and Wisconsin political operative, Priebus will work to smooth over residual friction from a campaign during which a number of Republicans refused to endorse Trump, reversed their endorsements or stepped away from him after a 2005 tape surfaced in which Trump is heard saying that he could force himself on women because he was a "star". Bannon will be the other voice on Trump's shoulder: He helped shape Trump's message on the campaign trail and relishes combativeness. The former navy officer and investment banker has said the campaign was the American version of worldwide populist movements such as the British vote to sever ties with the European Union.

The Southern Poverty Law Centre, a hate-watch group, blasted the choice of Bannon. It called him "the main driver behind Breitbart becoming a white ethno-nationalist propaganda mill" and cited Breitbart headlines that included a call to hoist the Confederate flag weeks after shootings at a black Charleston, South Carolina, church and another that said that political correctness "protects Muslim rape culture". Bannon once called Breitbart "the platform of the alt-right", a conservative movement that has attracted vocal support from white nationalists, among others.

Stephen Bannon, campaign CEO for President-elect Donald Trump. Photo / AP
Stephen Bannon, campaign CEO for President-elect Donald Trump. Photo / AP

Trump surrogate Newt Gingrich blasted the idea yesterday that Trump's campaign catered to the alt-right, calling it "garbage".

In a statement, Bannon said he and Priebus had a "very successful partnership" on the campaign trail. "We will have that same partnership in working to help President-elect Trump achieve his agenda."

Priebus gave a preview of some of the Administration's policy priorities. "I am very grateful to the President-elect for this opportunity to serve him and this nation as we work to create an economy that works for everyone, secure our borders, repeal and replace Obamacare and destroy radical Islamic terrorism. He will be a great president for all Americans," Priebus said.

The personnel announcement comes as the contours of the Trump Administration are starting to take shape and as he and his team pivot from campaign rhetoric to the nuts and bolts of governing.

Trump and his advisers continue to paint a mixed picture of what the Administration will look like, and they have been giving answers often at odds with Trump's campaign rhetoric, which included pledges to fully repeal the Affordable Care Act and get Mexico to pay for a wall along the southern border, and crowd chants of "Lock her up!" about his Democratic opponent, Hillary Clinton.

On undocumented immigrants, Trump said on 60 Minutes that his Administration will "get the people that are criminal and have criminal records, gang members, drug dealers, we have a lot of these people, probably 2 million, it could be even 3 million. We are getting them out of our country, or we are going to incarcerate. But we're getting them out of our country; they're here illegally."

The remarks are another sign of retreat from Trump's vows throughout much of the presidential campaign to remove all of the estimated 11 million illegal immigrants in the country. By focusing on criminals only, Trump would be mirroring current Obama Administration priorities, and experts say his numbers are highly inflated.

Trump also built his campaign around a pledge to build a wall along the US border with Mexico, but he said yesterday that he would accept the plan of some congressional Republicans to build a fence in places - something he told MSNBC in February would be acceptable because of natural barriers.

Protesters carry a paper head of President-elect Donald Trump during a protest. Photo / AP
Protesters carry a paper head of President-elect Donald Trump during a protest. Photo / AP

Trump again said yesterday that he will probably keep in place parts of the Obama healthcare law, including provisions that allow children to stay on their parents' health plans until the person turns 26 and prevent insurers from refusing coverage for pre-existing conditions. He said his Administration would work to repeal and replace the law simultaneously; he said in a different interview on Saturday that the law might simply be amended.

"And it'll be great healthcare for much less money. So it'll be better healthcare, much better, for less money. Not a bad combination," he told CBS' Lesley Stahl yesterday.

Trump has said that he would appoint Supreme Court justices to overturn the Roe v Wade decision legalising abortion and, in Vice-President-elect Mike Pence, he will be bringing one of the nation's most anti-abortion politicians into the White House.

When asked by Stahl if he plans to appoint a justice who will overturn Roe v Wade, Trump said whomever he names will be "very pro-life" and that "if it ever were overturned, it would go back to the states".

Trump also said he is "fine" with same-sex marriage being legal.

Trump's team also yesterday continued to tangle with the Senate Minority Leader, the Democrat Harry Reid, who said in a statement on Friday that Trump has "emboldened the forces of hatred and bigotry in America". Trump campaign manager Kellyanne Conway said Reid should be "very careful about characterising somebody in a legal sense." Conway said she was not suggesting Trump would sue Reid but that she is "calling for responsibility and maturity and decency for somebody who has held one of the highest positions in our Government."

Reid's office swung back in a statement: "Instead of rising to the responsibility of his office, Trump is hiding behind his Twitter account and sending his staff on TV to threaten his critics."

Donald Trump and his family gather for 60 Minutes interview. Photo / AP
Donald Trump and his family gather for 60 Minutes interview. Photo / AP