Peter Salovey’s recent appointment to the presidency of Yale University, founded by Congregationalist ministers, was cause for celebration for those who admire the Soloveitchik dynasty, an illustrious family of rabbis from Lithuania that includes Rabbi Hayyim Soloveitchik of Brisk (1853-1918), one of the most creative and important Jewish sages of modern times, and Rabbi Joseph Dov Ber Soloveitchik (1903-1993), known simply as “the Rav,” the leader of Modern Orthodoxy in America. In a breathless column, a writer for the Yale Daily News reported on the new president’s rabbinic lineage—under which Salovey himself commented, proudly affirming his place in the family tree as he had come to understand it.

But...