You can choose to lampoon baby art and you'll probably get some laughs, but that's the comedy of cruelty. Bring the kids up to your level, but make it the level of a grown-up kid. Be playful and irreverent without being sentimental or condescending. They won't get it, and if they do, it's still not clever or funny. Watch any current TV superhero show for an example of this terrible writing.
Many writers feel that the way to reach kids is to inject kid characters into the story.
Plus, you'll need to have adult actors mimic kid voices, which gets really old. One listen to The Rugrats provides a bellyful of that. Exploit the medium. So it harms the drama. You wouldn't let a kid drive your car, so don't let him drive your plot.