You have it all wrong. Just because any toddler can kick a ball that doesn't mean it's easy to do it right. I mean, I can play 3 chords on the guitar... oh, playing the guitar is so easy!!! NOT!
It's rather stupid to say one sport takes more skill that the other. I don't like baseball AT ALL but I can recognize that that catch you post takes a lot of skill that very few people in the planet can do as well as hitting a very fast ball with a bat or curving the ball so that the guy with the bat misses. Don't you think it takes a lot of skill to do this?:
It's crazy to think anyone can do that because it doesn't have any "hand-eye coordination".