According to a poll by Gallup published recently the vast majority of the voters of all the Icelandic political parties is against joining the European Union except for the Social Democratic Alliance.
Allir = Everybody
B-listi = Progressive Party (liberal / agarian)
D-listi = Independence Party (conservative / libertarian)
F-listi = Liberal party (social liberal)
S-listi = Social Democratic Alliance (social democrats)
U-listi = Left-Green Movement (socialist / green)
Blue = In favour of EU membership
Grey = Opposed to EU membership
Red = Neutral