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If the governor does eventually plunge into the race, one thing seems guaranteed : He would be, by a large margin, the Republican field's most provocative voice. No, he likely would n’t win, and he might well get the snot kicked out of him. But more than any other underdog flirting with 2016, John Kasich — defiant, outspoken, critical of conservatism from within — could upend the tenor of the primary season. [ Calendar of a candidate - Ohio Gov. John Kasich will be making stops in South Carolina and New Hampshire at the end of the month. Columbus [ Ohio ] Dispatch :.