This is a rush transcript from "On the Record," May 6, 2016. This copy may not be in its final form and may be updated.
GRETA VAN SUSTEREN, FOX NEWS HOST: Right now, plan for a peace summit right here in Washington. And it's not your usual peace summit. I'm talking about next week's big GOP closed door meeting.
Here are the players: Donald Trump, Speaker Paul Ryan and RNC Chair Reince Priebus. Can they unify the party? And would we be allowed to be the fly in the wall there?
But, first, Donald Trump rallies the crowd in Nebraska.
(BEGIN VIDEO CLIP)
DONALD TRUMP, GOP PRESIDENTIAL CANDIDATE: I won't talk about Lindsey Graham who had like one point, one -- you ever see this guy on television? He is nasty. He gets out dealt at all levels of the campaign. He leaves a disgrace. He can't represent the people of South Carolina well.
He goes on television -- I never seen a guy on television knocking me all the time. It's hard to believe I win everything on a landslide. This guy goes on television, then he talk about, I know more about the military than Trump. I've been dealing with it for years. Yes, for years. And that's why we can't beat ISIS. For years, they deal for years. We need new thinking.
Did you hear Bernie Sanders say she suffers from bad judgment? Is he right? I wrote that down -- bad judgment. And it is.
Look, the e-mails, that's bad judgment. It's also dishonesty that's why we call her crooked Hillary Clinton. Dishonesty. Total dishonesty.
VAN SUSTEREN: And earlier today, Trump tweeting, "Paul Ryan said that I inherited something very special, the Republican Party. Wrong. I didn't inherit it. I won it with millions of voters."
Joining us, former presidential candidate Herman Cain. Nice to see you, sir.
HERMAN CAIN, 2012 GOP PRESIDENTIAL CANDIDATE: Thank you very much, Greta.
VAN SUSTEREN: Well, let's start first with that last tweet. Donald Trump says that he didn't inherit the party, he won it. What do you think?
CAIN: Once again, Donald Trump is correct. He won the nomination, which meant that he won the leadership of the Republican Party. Or maybe you can say the co-leadership since Paul Ryan is the highest elected Republican official in the United States Congress. But he did win it. He earned it.
And I think that's what has so many anti-Trump, you know, never Trump folk bent out of shape.
VAN SUSTEREN: Should Speaker Ryan have endorsed Donald Trump as the speaker of the House leader of the Republican Party? Should he endorsed him, or should he have dodged the question, or how should he have handled it?
And what do you think about this summit next week and would you like to be a fly on the wall?
CAIN: I would love to be a fly on the wall.
Speaker Ryan could have said he's going to support Donald Trump since he's the presumptive nominee. That's a little different from saying you endorse. You say you endorse, then some people assume that you agree with everything they say, every position they take and how they say it.
He could have said, he supports them rather than I'm not ready for that yet. Because all that did was to throw more gasoline on this internal feud that's going on in the Republican Party.
So this meeting next week, I think is excellent. And if they sit down and go to the table with open minds, they will probably realize that they have more in common than they have differences.
I happen to think Paul Ryan may have not wanted to make any sort of commitment to Trump because he might be getting some pressure from some nervous members of the House who are concerned about Trump being at the top of the ticket and they are running for re-election. That's just a speculation. But I think the meeting should be eventful. And I believe it is going to end up with a degree of success.
VAN SUSTEREN: All right. I will bring the viewers in at this point.
Viewers at home, this is your chance to vote on Twitter.
Does it matter Speaker Paul Ryan supports Donald Trump? Tweet yes or no using #Greta. We'll show your live Twitter votes throughout the show.
Mr. Cain, also Governor Jeb Bush posting on his Facebook page today. He congratulates Donald Trump essentially winning the nomination. But he says he will not vote for Trump come November and he's not going to vote for Hillary Clinton.
What do you think about that?
CAIN: That's like a back-handed compliment. OK?
He's not going to vote for him, but congratulations.
There, again, it sends the wrong message to the people who may be still upset that their candidate didn't win. We started out with 17 candidates. It's now down to one presumptive candidate, OK?
Get over it and unify the party. Or they are going to be responsible for helping to get Hillary elected. I feel very strongly about that.
VAN SUSTEREN: All right. Well, Senator Lindsey Graham, who Donald Trump just tore apart a few moments ago in Nebraska, he says that he won't vote for Hillary Clinton. He's not voting for Trump either. So he's also not doing anything on Election Day.
CAIN: Well, Lindsey Graham is echoing the never Trump anti-Trump movement, which will destroy the Republican Party. Period.
They are simply delusional, Greta. They are simply delusional.
And here's the other thing. They really haven't looked close enough at what they have in common with Donald Trump. They focus mostly on the sound bites that have been said to the public, that have created this negative perception by so many people.
If they were to take the time, I believe, like they should find out in this meeting next week, that they have more in common than they have differences.
VAN SUSTEREN: Mr. Herman Cain, thank you sir for joining us.
CAIN: My pleasure, Greta. Thank you.