The U.S.'s two-party system is a dinosaur, and the Libertarian Party is a comet, Libertarian presidential nominee Gary JohnsonGary Earl JohnsonState polling problematic — again Where Biden, Trump stand in key swing states Amash decides against Libertarian campaign for president MORE said Sunday. 

ADVERTISEMENT

"I'm not going to lose one minute of sleep ruining this two-party monopoly that is going on," Johnson said on CBS' "60 Minutes" airing Sunday night.

"I think they are dinosaurs, and I think we're the comet in this whole equation. And I'm glad for it. I'm proud of it," he said. 

"I do believe this is going to be the demise of the Republican Party." 

But Johnson said a vote for Libertarians isn't a "protest vote," but a "conciliatory vote."

And he said the 2016 election cycle might just be crazy enough to put a third-party candidate in the White House.

"As crazy as this election season is, I think it could be the ultimate crazy, and that is that the two of us actually do get elected," he said. 

Johnson said he and his running mate, former Massachusetts Gov. Bill Weld, said they wouldn't be running if they didn't see victory as a possibility.

"I feel it's something of a patriotic duty given how the election season is unfolding. We feel a responsibility to offer the country sort of a sober, sensible alternative," Weld said.

Johnson also responded to an incident that caught headlines earlier this month; when asked what he would do about the war-torn Syrian city of Aleppo, he asked what Aleppo was. 

"I do not, in any way, want to make an excuse for myself. You know, so many people have said, 'Well, 90 percent of America doesn't know Aleppo.' Well, 90 percent of America is not running for president of the United States. No excuse. No excuse," he said. 

The Commission on Presidential Debates announced this week the Libertarian ticket failed to reach the required 15 percent polling threshold to participate in the first debate. 

But Weld said they will still have an impact on the election regardless of whether or not they're on the debate stage. 

"We're going to alter the course of this election, whether or not we're in the debates," he said. "And I think someone trying to guess what that influence is going to be, that's very hard, very hard to predict."

Johnson has an average of 8.6 percent support in national polls, according to RealClearPolitics.