Conservative radio host Rush Limbaugh famously said he hoped President Obama would “fail” in January, 2009. Almost a year later, when Limbaugh was rushed to the hospital with chest pains, Washington Post reporter David Weigel had a wish of his own. “I hope he fails,” Weigel cracked to fellow liberal reporters on the “Journolist” email list-serv. “Too soon?” he wondered. Weigel was hired this spring by the Post to cover the conservative movement. Almost from the beginning there have been complaints that his coverage betrays a personal animus toward conservatives. E-mails obtained by the Daily Caller suggest those complaints have...