The only way that Hollywood ever skews toward liberal is because part of what we make out of Hollywood involves writers, actors, directors, musicians, set designers, and photographers. In general, people like that are going to be more progressive, more open minded, a little more altruistic.
I grew up with a single mom who was a waitress. We were on food stamps. My mom then got Pell Grants, put herself through college to get a degree to get a better job. Because we were broke, I then had to go to a state school. I went to Temple University, and had to get loans. So I grew up in a world where I saw the government helping individuals pull themselves up, and saw it work very successfully.
The crush of lobbyists on Washington and purchase of the media by corporations has created a big business-run government and a worthless press leaving Americans screwed and ill-informed.
Hollywood is for-profit, is what Hollywood is. All the studios are owned by big, megacorporations that are the furthest thing from liberal you can possibly imagine.