I am sure when Kasich refers to Judeo-Christian values, he is speaking about basic values that most of us share, be we religious - or Godless, like myself. He might have said pluralistic, democratic values, under the rule of law impartially and fairly applied, but that's more complicated. Kasich is not a theocrat.
No. When you have jihadists trying to establish a caliphate who massacre over a hundred people in Paris on Friday you don't show up on Tuesday and say some dumb sh-t like this. Is this guy an ISIS plant? What the hell, man?!
I think it is a bad idea to let ISIS curb one's speech. Indeed, Islamic extremists, ready and willing to commit murder for their cause, have been far too effective in accomplishing just that (mostly outside the US for the moment, thank heavens), as they instill fear in folks. Of course, the ability of the US to promote said values around the world is close to nil, but whatever.