As Japan’s ruling Liberal Democratic Party begins the process of selecting a new leader – and by extension, the country’s next prime minister – the race is quickly shaping into a duel between a conservative heir to Shinzo Abe’s legacy and a reformist standard-bearer promising broader appeal within the divided party.The party’s internal election on October 4 follows Prime Minister Shigeru Ishiba’s resignation after barely a year in office, with the winner expected to assume leadership through a...