The Women of the Wall left the site feeling elated. Two human chains of policemen opened paths on the left and on the right, surrounded by an ocean of Haredi men and women. As they walked, the women, wrapped in prayer shawls, sang Ozi v'Zimrat Yah Vayahi li lishuah, a song marking the Sivan Rosh Hodesh (first day of the new month of Sivan) prayer.

Their smiles, like the smiles of those who...