In the weeks before the American president's inauguration, May sent Trump a copy of the text of Churchill's 1941 Christmas Eve radio address to Americans, delivered while the prime minister was staying with U.S. President Franklin Roosevelt after the attack on Pearl Harbor.
"There is no stronger alliance than that of our special relationship with the USA and there will be no alliance more important in the years ahead", the British leader said.
Mr Trump arrives Thursday afternoon following a North Atlantic Treaty Organisation summit in Brussels and largely avoids the capital's centre and the protesters.
"I just want the people to be happy".
May's future was thrown into question after two high-level cabinet members -including Foreign Secretary Boris Johnson- resigned amid the growing chaos surrounding Brexit negotiations.
"I would say Brexit is Brexit, the people wanted to break it up so I would imagine this is what they will do". A baby-shaped Trump balloon is expected to fly over Parliament on Friday morning.
Trump, who has repeatedly praised Brexit, has expressed enthusiasm for a wide-ranging trade deal with Britain after its European Union departure in March next year.
In the busy south London neighborhood of Brixton, Victor Greetham, who runs a jazz bar, said he hasn't been to a demonstration since he protested against the Iraq War in 2003, but he planned to attend one of the protests against Trump's visit.
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A high fence has been erected around the USA ambassador's central London residence where Trump will spend Thursday night and the embassy has sent out an alert warning Americans in London to keep a low profile in case protests turn violent.
But Drew, an American student who lives here in the United Kingdom, won't be among the demonstrators.
Trump "has proudly sparked passionate often divisive emotions about things, I think Americans living here to eager to turn out and express their views", he said.
Any yet Britain has entertained some equally controversial world leaders before him.
A small demonstration is expected to take place near Blenheim Palace in Oxfordshire on Thursday, the venue for Trump's black-tie dinner with Prime Minister Theresa May.
Later, Trump will go to Windsor Castle for tea with 92-year-old Queen Elizabeth.
Over a lunch of Dover sole, lamb and lemon meringue pie, the leaders will discuss Russian Federation, trade, Brexit and the Middle East.
He is also expected to visit Scotland - where he owns two golf courses - before heading back to the US.