NEW YORK — The Justice Department is asking to take over President Donald Trump’s defense in a defamation lawsuit from a writer who accused him of rape, and federal lawyers asked a court Tuesday to allow a move that could put the American people on the hook for any money she might be awarded.After New York state courts turned down Trump’s request to delay E. Jean Carroll’s suit, Justice Department lawyers filed court papers aiming to shift the case into federal court and to substitute the U.S. for Trump as the defendant …