Flying 1st clas entitles me to a bigger seat, more legroom, more individualized service, better food/drink, and a few other perks (lounge access, shorter check-in lines). Flying first-class does not guarantee me that my cabin companions will not be boors, or that my flight attendants will not be surly.
It's the essence of MarieAntoinetteism to suggest that the élite in 1st shouldn't have to hear the wails of an infant, but that it's perfectly ok for the people in coach to enjoy the same concert. Shame on you all who suggest that.
That said, I would strongly support any airline that wanted to offer non-children flights. Such flights might be targeted specifically toward business travellers and would not alow anyone under, say, 10, on board.
(And, by the way, since when are children a protected group in anti-discrimination laws? I can't discriminate based on sex/race/and a few other things, but being an infant isn't one of those categories. Plenty of B&Bs don't allow children; it'd be against the law, though, if they didn't allow Jews or Italians.)