As someone who came from radical fundamentalist, ultra-"conservative" evangelicalism, this is a regular topic of interest for me (and not meant to bash religion or Christians). Evangelicals have been the king-maker faction in "right"-wing politics for a few decades, so which themes of the faith resonate with this subsection of U.S. Christianity is worth noting.
All in all, the distinctions between Huckabee and Kasich are relatively subtle: They were among the few Republican contenders defending government welfare services whatsoever. But their difference in focus animates a fissure in Christian politics that will likely grow more prominent as the 2016 campaign advances, especially after Pope Francis’ September visit to the United States. And that fissure reflects a growing divide in Republican thought: Is the world made up of makers and takers, with the immoral takers always out to swindle the honest, hard-working makers out of their earnings? Or is the world rather made up of all sorts of broken people, some suffering and damaging to greater degrees than others, but each with an equal claim to their portion of the world's bounty? The latter seems to me more defensibly Christian, but less reliably woven into Republican politics. Whether or not Kasich's brand of Christian conservatism gains widespread purchase will likely depend on whether or not traditional "47 percent" rhetoric appeals as much in this election as it has in elections prior. It's early yet, but Thursday's debates gave little reason for hope.