Republican Ohio Gov. John Kasich speaks to a crowd at a restaurant in New Hampshire in May. He's considering a run for president in 2016. Steven Senne/AP hide caption toggle caption Steven Senne/AP Q&A Q&A: Ohio Gov. John Kasich. He Does It His Way June 5, 2015 No Republican has won the White House without winning Ohio. That's one reason Ohio Gov. John Kasich is the latest GOP candidate to give serious consideration to a White House bid.