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Paul's views on foreign policy have taken plenty of heat from his rivals for the GOP nomination, who have slammed his views on the topic as outside of the mainstream of Republican thought. Rep. Michele BachmannMichele Marie BachmannEvangelicals shouldn't be defending Trump in tiff over editorial Mellman: The 'lane theory' is the wrong lane to be in White House backs Stephen Miller amid white nationalist allegations MORE (R-Minn.) called his views "dangerous" before dropping out of the race. 

DeMint said he does not agree with the Texas congressman on everything but that the rest of the GOP presidential field should capture some of what Paul's been talking about for years because the Republican Party "needs" the libertarian movement.

"You don't have to agree with everything he's saying, but if the other candidates miss some of the wisdom about what he's saying about monetary policy ... that will be to our detriment," DeMint said.

DeMint, who is an influential conservative lawmaker with a key role in the Tea Party movement, said the debate within the Republican Party he's most comfortable with is between conservatives and libertarians.