I complete agreement. There should not be crying babies, screaming children or adults in the audience.
Why even take the poor baby there? It's very selfish, not considering the babies needs nor the experience of the other people at the match (including the players) , just because whoever the child's guardian was on the day wanted to watch tennis.
I don't understand how people can sit there with a crying baby, in situations where a crying baby is not appropriate, and think "it's fine for me to just let this happen". Yeah, babies cry, doesn't mean they have to cry there. Take them away.