Here's a summary of this whole question about whether or not Ted Cruz is a "natural born citizen" and therefore eligible to be president. Seems to me the loudest voices in this debate are folks who start with the question of whether or not they want Cruz to hold the office…then they work backwards from that to figure out an argument for why he is or isn't eligible.
I have no opinion on the matter. I'm not even sure whether I'd like to see Cruz be the G.O.P. nominee. Of all the people running, he's the one I think would do the most damage to the country. He's also the Republican I think would be easiest for Clinton or Sanders to defeat.
But I am leery when I hear someone described as an "originalist," meaning one who believes the Constitution ought to be interpreted the way the men who wrote it meant it. That sounds scholarly and fair but every originalist I've seen miraculously comes to the conclusion that the Founding Fathers' interpretation was just what he would want it to be. That's not deferring to them. It's finding ways to spin old James Madison quotes so they seem to support your prejudices and then insisting James outranks everyone else's views.