I'm opposed to anyone on an airplane being rude/annoying/loud.
That said, I'll make an exception for kids *IF* the parents are really trying to make the situation better. An infant doesn't know what's going on. All he/she knows is that his/her ears hurt, or there's this REALLY loud noise that's bothering them, or that they can't get up and crawl around.
As long as the parent is trying to be a good parent, I have no problem with kids traveling -- either in coach or in first class.
HOWEVER, if the parent's aren't being good parents -- entertaining the kids, playing with them, trying to get them to behave properly -- I think the kids AND their parents should be subject to the same treatment that any loud/obnoxious adult would be subject to on a flight. When a parent takes a small child on a flight, they have a responsibility to at least try to do whatever they can to make the flight as painless for everyone else on the plane -- and for their child. They don't have an obligation to succeed, but they do have one to at least try.