Marilyn Monroe and Elizabeth Taylor were film goddesses whose identities were constructed — and of endless fascination to Andy Warhol. Meanwhile, the fact that both women converted to Judaism remained largely private and invisible. In “Becoming Jewish: Warhol’s Liz and Marilyn,” the Jewish Museum explores this contradiction. The Jewish Museum, 1109 Fifth Ave. at 92nd St. Through Feb. 16. Information at thejewishmuseum.org.