LONDON — President Trump prides himself on being the great disrupter, but when he arrives in London on Monday for a state visit, it’s not clear how much more he can shake up a country that is already convulsed, divided and utterly exhausted by the long debate over its departure from the European Union.

Still, Mr. Trump’s penchant for uncensored opinions and unsolicited advice is likely to capture as many headlines, if history is any guide, as the visit’s stately rituals: a banquet with Queen Elizabeth II at Buckingham Palace and afternoon tea with the Prince of Wales at his official residence, Clarence House.

Mr. Trump got an early start, telling The Sunday Times in an interview published before his arrival that Britain’s next leader should “walk away” from Brexit negotiations with Brussels to extract a better deal, and should make Nigel Farage, the fiery populist who was one of the leaders of the Brexit movement, the country’s chief negotiator.