I don't think top-down decrees like this works. Look at say CSICOP, Carl Sagan, etc who built out a fairly strong skeptic movement in the 80s and 90s. It didn't affect religiosity or cut down on beliefs in the paranormal. Frankly, it just comes off as a lot of paternal academics calling everyone ignorant cavemen compared to their materialistic views. It didn't come off as a labor of love for one's fellow man and as you can tell from modern skeptics and atheists, it just quickly devolves into namecalling, general rudeness, and dismissive strawmen. Neckbeards aren't exactly known for their social or persuasion skills.
So we tried that approach. What now? Maybe address this on a deeper level like better grade school and high school education. For example, we can see a lot of our public schools are unionized, which often means bad teachers and poor performers are impossible to fire. Outcomes get worse and big city high schools like in Chicago and NYC float around a 60% graduation rate. Would the left who is championing the vaccine cause be willing to go against its own unions to make schools better? I doubt it.
I really don't believe the TV tells people what to do. It often reflects whats already out there. Jenny McCarthy and Jim Carrey and others didn't start the anti-vax movement - it was in full swing by the time they latched onto it. Unless you're willing to do proper grassroots work, its just not going to happen. That means solutions that upset the status quo like attacking teacher unions. Or discriminating against un-vaxxed kids and not letting them go to school. I can't see the activist left doing that either. Would you be able to accept a better vaccination rate if you worked hard at it every single day, but only are planning on seeing results in 10 or 15 years? How motivated would activists, especially internet slactivists, be with a long range plan like this?
Personally, I see this as largely unstoppable. Social fads and mores follow a pendulum shift. Right now we're deep into homeopathic, anti-vaxx, etc territory. People are starting to feel the burn of it (dying kids, chronic illness, etc) and will naturally swing the pendulum back the other way once they're properly disincentized by their medical issues. Documentaries, celebrity endorsements, etc won't change a thing. This is largely a chaotic process that needs to play itself out. Its a conversation happening in every office, every daycare, every mothers group, etc and we really can't penetrate it, the same way the skeptic movement never penetrated religion or those who believe in the paranormal. If anything, belief in the paranormal has skyrocketed since Sagan's and CSICOP's loudmouth skeptic movement. Laying down the facts is only one part of trying to implement social change. I wish more people understood that.