No, no, no!
What the hell ever happened to PARENTING? You know...when people expected parents to be able to control their children in public places?
My ten-year-old can handle PG-13 movies. If she doesn't understand something, she asks me after the movie's over. If she gets scared, she asks me quietly if we can leave, and we do. I've taken my children to fancy restaurants, weddings, the like. If they cry, I take them out to the car so as not to be rude to other patrons. If a parent refuses to parent a child in a restaurant, the staff should ask the family to leave. The same thing goes for movie theaters. For airplanes, I do like the idea of a separate first class for children, simply because once a plane is in the air, there is no way to ask the parent of a rowdy child to leave. It wouldn't be that hard to implement, either, a simple dividing wall, and sell the tickets as children or non, like restaurants used to with smoking.
But that's not my biggest problem with this. More and more places are not allowing children, but where are kids expected to go? Do they stay home all the time, indoors? How do they learn how to behave in public places if they're never allowed in them? Those children will be taking care of us when we're old. They'll be our doctors, nurses, they'll be making the stuff we buy and use. If we make no room in our society for children, we raise a generation of children that do not feel welcome in their own lives, who graduate high school not really knowing how to be the adults we expect them to be.