Libertarian favorite Sen. Rand Paul of Kentucky came in second in the poll with 13% of support while former Gov. Mike Huckabee, the 2008 caucus winner, and Tea Party darling Ben Carson closely followed with 11% each.
Walker also topped the list of second picks, with 13% listing Walker as their second choice.
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A quarter of likely Iowa caucus-goers also said they would not support Christie.