The hippies hijacked peace. That one circular peace sign with the upside down-Y connects the concept of peace to hippies and anti-war demonstrations. That's all well and good, but there's another kind of peace worth rallying for; your personal peace.
When you're afraid, and you carry a heavy heart, John 14:27 whispers a verse of personal peace. Take notice of the difference between the worldly peace you pray for, and the inner peace that comes upon you like a prayer. It's your gift from God. Bask in it.