'His Eminence and Hizzoner' to Write a Book
LEAD: Mayor Koch and John Cardinal O'Connor, who were recently described by a mutual friend as ''the temporal and ecclesiastical Odd Couple,'' are collaborating on a book to be entitled ''His Eminence and Hizzoner.'' Each will argue his position on abortion, child care, homosexual rights and other issues on which church and state meet - sometimes head on.