Trump and RFK Jr. in split-screen confrontation at Libertarian National Convention

A split-screen showdown between presumptive Republican Party presidential nominee Donald Trump and independent candidate Robert F. Kennedy Jr. will take place this weekend at the Libertarian National Convention in Washington, D.C., as each candidate seeks to woo the party base.

However, it is unlikely that the two candidates will face each other directly, despite Kennedy’s calls for a debate between them. Kennedy addressed the convention Friday afternoon, a day before Trump’s appearance Saturday night.

The Libertarian Party, which has access to the polls in at least 37 states, is a non-interventionist political party that has undergone a number of variations since its creation in the 1970s. Its members are best known for being largely socially liberal and fiscally conservative.

The party hopes to confirm its presidential and vice presidential candidates on Sunday.

“Libertarians are some of our country’s most independent and thoughtful thinkers… We must all work together to help promote freedom for all Americans, and a second Trump administration will achieve that goal. I look forward to speaking at the Libertarian Event, which many of my great friends will attend,” Trump said in statements to ABC News.

Both Trump and Kennedy are looking to court voters where they can as Election Day approaches. Polls show Trump slightly ahead of Biden (41% to about 40%, respectively), while Kennedy trails by just 10%, according to the national polling average of 538.

The Libertarian Party, which said it had extended speaking invitations to both Trump and Biden, called the former president’s acceptance “momentous.”

“This momentous occasion will mark the first time a former president has addressed our members, candidates and executive committee directly. Don’t miss this opportunity to hear the views of a prominent figure in American politics and watch him commit to libertarian ideals,” he said the match. he wrote in a press release.

Kennedy later accepted a speaking spot at the convention and then challenged Trump to a debate there, calling the venue “perfect neutral territory” for their meeting.

“You yourself have said that you are not afraid to debate me as long as my poll numbers are decent… So let’s get together in a couple of weeks and show the American public that at least two of the leading candidates are not afraid to debate among ourselves,” Kennedy wrote in X earlier this month.

Trump has not responded to that invitation, but has since separately expressed his willingness to share the debate stage with Kennedy if the latter qualifies for the upcoming televised presidential debates scheduled for this summer.

Mark Rutherford, who is running for president of the Libertarian Party, said some Libertarians have objected to Trump and Kennedy attending their convention since they are not party candidates.

“This is the Libertarian Party’s national convention to nominate our Libertarian Party presidential candidate and vice president. He is the presumptive Republican nominee. It is not appropriate for me to be here talking to him. We need to focus on our own candidates.” Rutherford said of Trump.

He said the same thing about Kennedy.

“Once again, he’s running against our candidates… So it’s just not appropriate for them to be here,” Rutherford said.

“(The Libertarian Party leaders) brag about bringing these people in. I think it’s confusing the public and confusing people. Why are they here at our presidential nominating convention?”

Chase Oliver, one of the libertarian presidential candidates, called Trump and Kennedy’s attendance at their convention “confusing.”

“When they see Donald Trump speaking with a libertarian banner behind them, that’s going to confuse our image of the average voter… we’re going to have to get out of that hole and actually present a real contrast, which I’m happy to do, but It would be a lot easier if we didn’t have them on our stage,” Oliver said in an interview with ABC News White House correspondent MaryAlice Parks on Friday.

But another Libertarian delegate, Garrett Steele of Nashville, Tennessee, said he was excited to have Trump and Kennedy at the convention because they “have brought attention” to the party and its platform.

Oliver joins Michael Rectenwald, Mike Ter Maat, Lars Mapstead, Jacob Hornberger, Joshua Smith, Joseph Collins, Charles Ballay, Toad, Art Olivier and Jody Jones as the party’s candidates at the convention.

“There are a lot of people running,” Rutherford said, noting there was no clear favorite in the race.

There is a chance that Kennedy will be nominated by delegates at the Libertarian National Convention when they vote on Sunday.

ABC News’ Oren Oppenheim, Soorin Kim, Lalee Ibssa and Kelsey Walsh contributed to this report.