Trump dominated with "very conservative" and "conservative" voters in New Hampshire, whose numbers were actually up this year compared to the previous election. Trump dominated 35 percent to 23 percent for the 25 percent of "very conservative" voters. Trump dominated even more with those who only described themselves as conservative or slightly conservative. All in all, "conservative" voters represented nearly 70 percent of primary voters, and Trump dominated each category.
As for your, "they're not really conservatives!" Your assertion is stupid, because it means that the "very conservative" group, which was Cruz's only strong group, were all liberals voting for Cruz.
Again Iowa and South Carolina have vastly more conservatives and evangelicals than New Hampshire. Again New Hampshire is the least religious state in the entire country. Again New Hampshire is the 5th most liberal state in the country. Again Ted Cruzcame 3rd after spending just $580K vs. $32M for Bush, who came 4th, and over $10 million spent by Rubio who came 5th.
Again Ted Cruz has a better ground game in South Carolina than anyone else. Again Ted Cruz has more cash on hand than Jeb, Rubio, Kasic and Christie combined.