Children's art

I am responding to Aditi's post on children's art. I think that there is a line drawn between children's art and adult's art. I can't think of a museum where a 5 year old's picture would be presented next to and 30 or 40 year old's piece. If you go to a book store you rarely see an adult in the kids section unless they have kids. I have never seen an adult that buys kids books just for themselves to read. I think it is because adults hold themselves on a higher level than kids. When kids do have talent, it is quite difficult to get it compared to that of older artists. I think this is in part because the older you are, the time you have had to learn, and i think to most people it is frustrating to discover that someone who did not take the classes you did or took the time to practice like you did is better than you.
As for where the line would be drawn to distinguish between the two, I have no idea. I do know that there is a line though, because of the way our society is. If you have ever seen the cartoon Madeline,there was one episode where she discovered that she was an amazing artist and someone saw her painting when it was done and thought it was magnificent. They did not know that she drew it though. Hundreds of people came to see her beautiful picture, and then towards the end discovered it was her picture, and did not like it anymore because she was a child. I feel like that definitely happens sometimes. I also know that the children's books i read as a child had a bigger impact on me in comparison to some of the books i read now. The phantom tollbooth was one of my favorite books, and it taught me that you shouldn't complain, and that there is always something to do when your bored.
Question: Should children's artwork have more recognition in the world? Or are things fine the way they are now?