What about ugly people or people with body odour? Do we not allow them to travel on planes, too? I can easily block noise with earplugs. Can’t really plug my nose or keep my eyes closed all the time.
Why is everyone else responsible for your comfort? Wanting all families banned from airtravel just because wearing earplugs is asking too much is in my opinion a lot more selfish than bringing a child onto a plane.
Body odour is - thanks to deodorant - very much a choice.
You are right, air travel is no fundamental right. Same as air travel in complete silence.