"If you've done your job well, the editing isn't visible", the Kiwi movie editor says.
A throwback to Hollywood's Golden Age, "La La Land" took home seven Golden Globes in January and has been nominated for 14 Oscars.
"The most unvulnerable and poorest are treated by the government with a callous brutality that is disgraceful", he said.
The UK awards, known as BAFTAs, are often seen as an indicator of who will win at Hollywood's Academy Awards, held two weeks later.
Davis said being recognized in Britain was proof that Wilson "has told a universal story of the everyman and American history".
The ceremony is being presented by long-running host Stephen Fry at London's Royal Albert Hall.
Barry Jenkins, director of best-picture nominee Moonlight, said, "People ought to speak from their heart".
Video Nicole Kidman on the Bafta nominated Lion
He continued: "Anybody who would think of voting Labour but then changes to Ukip should really look at this because if Ukip and the far right get in this will get worse".
Stone, up for best actress for La La Land, said "This is an unprecedented time".
"The rest of us on the other side - film makers know which side they are on and despite the glitz and glamour of occasions like this, we are with the people".
And while the luscious "La La Land" was the favorite, academy voters could choose to reward less escapist fare.
BAFTA 2017 Awards Nominations for Best Actress in a Leading Role are - 1) Amy Adams - Arrival as Dr. Louise Banks 2) Emily Blunt - The Girl on the Train as Rachel Watson 3) Natalie Portman - Jackie as Jackie Kennedy 4) Emma Stone - La La Land as Mia Dolan 5) Meryl Streep - Florence Foster Jenkins as Florence Foster Jenkins.
The director of I, Daniel Blake took to the stage to collect the first gong of the night and immediately apologised for giving a "political" speech so early in the evening.
BAFTA 2017 Awards Nominations for Best Actress in a Supporting Role are - 1) Viola Davis - Fences as Rose Maxson 2) Naomie Harris - Moonlight as Paula 3) Nicole Kidman - Lion as Sue Brierley 4) Hayley Squires - I, Daniel Blake as Katie Morgan 5) Michelle Williams - Manchester by the Sea as Randi.