I work with a non-profit and our slogan is "Because Everything Begins with Birth," which is similar to the idea you describe. The reason birth is important to world peace is because all peace begins within the family structure, then goes out from there to communities, etc.
Think of 2 scenarios: A birth like the one depicted on the Today Show this morning, in which an infant, peacefully abiding in his mother's warm safe womb has the amniotic fluid sucked out from around him, is suctioned, then pried out. He is held upwith cold air all about him, under bright lights and shuffled over, not to be held by his mother and dried by her, but to a vegetable bin where he is roughly dried, repeatedly suctioned, dried more, and has yet to hear a voice he is familiar with, either mom's or dad's, who is standing there with him, but undoubtedly feels incapable of caring for his very own child. Baby is eventually wrapped in a blanket and eventually hears mom's voice and feels her touch, but no where in the segment they showed was the baby held skin-to-skin, cuddled, cooed to, etc.
Now, imagine a scenario in which a baby is born in the home he will grow up in, surrounded only by his parents and the people they trust completely. Fluid from his lungs is expelled with each contraction as he slowly emerges from his mother's birth canal. He feels the warm touch of his mother or father on his head before he is even born- perhaps it is tantalizing to him. As his head is born, there are no bright lights in his eyes, so instead he focuses on the voices around him, voices he recognizes as his own, now more clearly heard than ever before. He is now completely in the hands of those who will continue his care through his childhood; his mother puts him on her breast, which is warm and welcoming. He is wrapped in a blanket with her, dried gently by his father's hands. They all exchange looks of love, they fall in love.
Which baby will be more likely to be trusting of the people around him; which baby will have fear coursing through his little body; which baby will think the world is a good place to be; which might recoil from his birth?
This to me is the heart of it all: the way we treat babies at birth. And I am not discounting the importance of treating parents with respect. They certainly deserve it. They don't need to be taught how to be good parents; they need to be supported in their natural abilities as parents. It is all connected.