Perhaps a Disney movie or two in the big picture has little effect on a given child but Disney's influence extends far beyond the movies they may or may not see. Disney is a media giant. It sells through many media in a big way. It owns a book company, has TV shows, amusement parks, stores, cable interests, music interests. All that and more I'd guess.
Even if a given child was sheltered from all of Disney's many media, it still has a powerful influence. Peers. Classmates and friends are being influenced and in turn can influence children with the smallest exposure to Disney.
I'd recommend a viewing of "The Merchants of Cool." A chilling PBS documentary on how the media controls, even owns, teen culture. You can read it or view the program at: http://www.pbs.org/wgbh/pages/frontline/shows/cool/
. A quote from the show: "Today five enormous companies are responsible for selling nearly all of youth culture. These are the true merchants of cool: Rupert Murdoch's Newscorp, Disney, Viacom, Universal Vivendi, and AOL/Time Warner.....They look at the teen market as part of this massive empire that they're colonizing. You should look at it like the British empire or the French empire in the 19th century. Teens are like Africa. You know, that's this range that they're going to take over, and their weaponry are films, music, books, CDs, Internet access, clothing, amusement parks, sports teams. That's all this weaponry they have to make money off of this market."
"And as parents and the home lose some of their hold on the imagination, senses and emotions, children naturally turn elsewhere for spiritual and psychic sustenance. The find it in the media and its indomitable infantry, the peer group."
~ Kay S Hymowitz, Ready or Not