Libertarians who lean toward the GOP also differ from their fellow Republicans on early preferences for the 2016 presidential field. In head-to-head questioning, Mr. Paul was the top choice among libertarians with 26 percent, followed by Sen. Ted Cruz of Texas with 18 percent, Sen. Marco Rubio of Florida with 16 percent and Rep. Paul Ryan of Wisconsin with 13 percent.
There was a sharp divide over New Jersey Gov. Chris Christie: He placed fifth among libertarians with 10 percent support but first among voters who trend Republican with 18 percent, tied with Mr. Ryan.
Meanwhile, Mr. Paul, like his father a libertarian favorite, came in fifth among overall Republican voters with 11 percent support.
Those who considered themselves tea party Republicans favored Mr. Cruz with 22 percent, followed by Mr. Rubio with 18 percent, Mr. Ryan with 14 percent and Mr. Paul with 13 percent.
The survey, conducted from Sept. 21 to Oct. 3, was drawn from a random sample of 2,317 adults 18 and older. The margin of error was 2.5 percentage points.