After more than a week of campaigning, intriguing and infighting among Conservative Party lawmakers, Britain’s foreign secretary, Jeremy Hunt, won the right on Thursday to take on his more famous and charismatic predecessor, Boris Johnson, in the final phase of the race to become the next prime minister. Mr. Hunt was the second choice of Tory lawmakers, well behind Mr. Johnson, and now the two men will compete for the votes of around 160,000 members of the party who will next month select a successor to Prime Minister Theresa May. Mr. Johnson won 160 votes, and Mr. Hunt 77. Mr....