Jake Gyllenhaal Actor BAFTA for the same role and received a Best Supporting Actor nomination and Best Film Ensemble nomination from the Screen Actors Guild. Also for "Brokeback Mountain", he and Ledger won an MTV Movie Award for "Best Kiss" in 2006. Shortly after the 2006 Academy Awards, Gyllenhaal was invited to join the Academy in recognition of his acting career. Gyllenhaal expressed mixed feelings about the experience of being directed by Ang Lee in "Brokeback Mountain" but generally had more praise than criticism for Lee's directing style. While complaining of the way Lee tended to disconnect from his actors once filming
Maggie Gyllenhaal may have knowingly or unknowingly contributed to this conflict." Gyllenhaal took part in Artists United to Win Without War, a campaign started by Robert Greenwald that aimed to advance progressive causes and voicing opposition to the Iraq War. She and her brother Jake filmed a commercial for Rock the Vote, and visited the University of Southern California (USC) campus to encourage students to vote in the 2004 U.S. presidential election, in which she supported John Kerry. Gyllenhaal supported Barack Obama in the 2008 presidential election. She has campaigned on behalf of the American Civil Liberties Union (ACLU), an organization her