Could Uniting the Saints in prayer cause the Glory of God to cover the Earth?

In John 17:21-22, the Lord prayed that we become one, saying that He has given us His glory in order to unite. Looking over the varied landscape of God’s children, it is easy to ask, “How in the world can we all become one?” Could it be that, out of the manifold wisdom of God, He has made a way for us to do that?