BOSTON—An American father and son wanted by Japan for aiding former Nissan Motor Co. Chairman Carlos Ghosn escape from the country in a box were handed over to Japanese custody Monday, ending their months-long battle to stay in the United States. Michael Taylor and his son, Peter Taylor, failed to convince U.S. officials and courts to block their extradition to Japan, where they will be tried on charges that they smuggled Ghosn out of the country in 2019 while the former auto titan was awaiting trial on financial misconduct charges. The Massachusetts men, who have been locked up at a suburban Boston jail since their arrest in May, were handed over to Japanese officials early Monday, said one of their attorneys, Paul Kelly. The Taylors’ lawyers had argued the accusations don’t fit under the law Japan wants to try them under and that they would be treated unfairly in Japan …