If you are "concerned" about them, does that mean you want them banned by government edict?
Concern doesn't translate into a desire for bigger government. It's right to be concerned that children may be indoctrinated to accept things that may go against your family's values. There's enough of that in the public schools!
I think what most of us would do with our concern is 1) look more closely at the movies and TV shows we permit our children to watch; 2) teach our children to evaluate critically what they hear or see; 3) discuss our concerns with others. I suspect most of us here are too fond of the First Amendment to call for banning.
In the case of this article, however, I think it's utter nonsense to say "Dumbo" had some sort of subliminal homo-friendly message. It's just wishful thinking on the part of the writer, who apparently sees homosexuality around every corner.
It reminds me of why I stopped reading the New Yorker magazine: it seemed every article, every book and theatre review, tried to convince the reader that all the world was homosexual, that Lincoln was a homosexual, that every famous writer, actor and composer was homosexual ... and it all became quite tiresome!