☆Immigrants aren't directly responsible for the pro Brexit vote, but the British elderly population pushed for brexit, because of their lack of support for immigration.

T

he former British business secretary mentioned that the British elderly people who "overwhelming" fuelled the pro Brexit vote were the same people who obsessively worried about millions of Turkish people coming to live in their villages.

He added that "Immigration was a massive issue for them though they never actually encountered any,"
(I am however unclear if them refers to Britan or the elderly)
Sir Vince Cable had said that the vote was driven by a longing for the country they (the elderly) had been raised in, and they feel that had been lost to time. "A sense of nostalgia".