Sen. Mike Enzi leads Liz Cheney by more than 30 points, according to a poll released Friday morning.

The Conservative Intel Poll, conducted for the right-leaning blog by Harper Polling, reports that Enzi leads 55 percent to 21 percent over Cheney, the daughter of former Vice President and Wyoming Congressman Dick Cheney. Liz Cheney announced her plans to run against Enzi on July 16.

According to the poll, Wyoming GOP voters view Enzi very favorably, with a 76 percent to 6 percent split on favorable and unfavorable ratings. However, Cheney also is well-liked among Wyoming Republicans, who give her a 45 percent favorable rating and a 15 percent unfavorable rating. Dick Cheney is even more popular, with a 74 percent favorable rating and a 14 percent unfavorable rating, according to the poll.

Harper Polling’s Brock McCleary said it appears Cheney faces a big challenge in trying to knock off the popular three-term incumbent.

“What the poll does makes abundantly clear is that she is going to have to prosecute a vigorous case against the sitting senator,” McCleary said. “Because the jury is skeptical at the outset that a change of representation in the Senate is needed.”

The issue differences between Cheney and Enzi are not that great, he said. If the conservative Enzi has a weak point, it is probably his support for a bill that lets states tax Internet sales, McCleary said. It passed the Senate this year, but faces an uncertain future in the House.

In Washington, some who might be identified as national security conservatives see Cheney as a possible new standard-bearer, according to McCleary. But it’s going to take more than a name to beat Enzi, whose job approval rating stands at 73 percent, he predicted.

Meanwhile, 66 percent of Wyoming Republicans say they oppose a “pathway to citizenship” for immigrants illegally present in the U.S. today as part of an immigration reform package, according to the poll.

Wyoming also is an early presidential caucus state. Voters there haven’t formed any early consensus on a candidate. They give a narrow edge to Wisconsin Congressman Paul Ryan at 15 percent, with Sen. Rand Paul of Kentucky close behind at 12 percent and Florida Sen. Marco Rubio, former Florida Gov. Jeb Bush and New Jersey Gov. Chris Christie tied at 10 percent.

See more at Conservative Intellegince Briefing's website.