At the risk of becoming repetitive (and while I do admit that I wouldn't want to be in Gaza's shoes):

No matter what class you're travelling in, when flying commercially you purchase just one seat and you don't have any control over who is travelling with you or how obnoxious they are. Scheduled BA flights cannot be seen as anything more than public transport. Not too long ago, I started a thread about BA F with data exhibiting that it's actually cheaper (on a per-mile basis) than taking the local bus.
I await answers on a postcard about what you think the local bus driver might tell me if I complain about the chavbabies that won't stop screaming throughout my journey.
With all due respect, if you want a baby-free environment you should look into flying privately.