Washington DC - Donald Trump declared that the "American dream is unstoppable" Tuesday in an address to Congress met with Democratic hostility as he touted radical policies and hailed billionaire adviser Elon Musk.

With Musk, the world's richest person, among those attending the primetime televised address, the 78-year-old Republican said after less than two months back in power he is "just getting started."

"America is back," he declared.

Almost every line got loud applause from Republican Party members, including on two occasions when Trump singled out Musk, who stood up to salute the Congress.

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The ultra-Trumpist Marjorie Taylor Greene, always a politician to wear her support on her sleeve, sported a red "Trump was right about everything" cap – in violation of a ban on headwear introduced almost two centuries ago.

But protests also began within minutes.

One Democratic congressman, Al Green, was ordered ejected because he refused to stop heckling, claiming Trump has no mandate to dismantle healthcare programs, and shaking his walking stick at the president.

Other Democrats silently held up placards including "False," "Musk steals," and "That's a lie!"

The president hailed his first six weeks, vowing to press on with his polarizing bid to reshape the US government and end the Ukraine war – whatever the cost.

However, in what often sounded more like a campaign speech than an address to the whole nation, he made no attempt to reach out to opponents.

He got big cheers from supporters on pronouncing that his culture war on diversity programs and attacks on transgender rights meant "our country will be woke no longer."

Trump also set out his vision for the economy – even as the trade war he launched against Canada, China, and Mexico is prompting jitters on world markets and threatening to raise prices at home.

He claimed that he was trying to resolve an "economic catastrophe," despite actually inheriting the strongest developed economy in the world from his Democratic predecessor Joe Biden.

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Touting levies as a tool that would help domestic industries boom, Trump claimed, "Tariffs are not just about protecting American jobs."

"They're about protecting the soul of our country," he continued. "There'll be a little disturbance, but we're okay with that. It won't be much."

Trump is also upending US foreign policy with his pivot to Moscow over the Ukraine war, which has stunned Kyiv and allies alike.

Days after a televised row in the Oval Office with Ukraine's leader Volodymyr Zelensky, Trump reiterated it was time to end the "senseless war" but did not address growing accusations that he is following the Kremlin's lead, while ignoring ally Ukraine.

He said he had just received a letter from Zelensky in which the Ukrainian president said he was "ready" for peace negotiations and could sign a US-Ukraine minerals sharing deal "any time."

Trump also doubled down on his controversial vows on "taking back" the Panama Canal and getting Greenland from Denmark by "one way or another."

Democrats have so far struggled to counter Trump's flood-the-zone strategy and his hogging of the news cycle with constant press conferences.

The Democratic rebuttal to Trump's address will be provided by new Michigan senator Elissa Slotkin, a 48-year-old former CIA analyst and rising star in the party.