The South Carolina Republican was playing up his centrist policy positions on Monday at a No Labels convention in New Hampshire. The nonpartisan group emphasizes bipartisanship and finding common ground.
Graham seemingly cracked a joke about his presidential campaign's fundraising lack of prowess before moving into a substantive discussion of the power of money in elections.
"You want to get money out of politics? Join my campaign. We've accomplished that," Graham said chuckling.
He added that after the Supreme Court's Citizens United decision that allowed unlimited political spending by groups, stopping that cash flow would require a constitutional amendment.
"I think there's a way to get there," he said, adding, "that would be a priority for me."
Graham spoke and answered questions for about 30 minutes, playing up his bipartisan work and his more moderate policy positions. He joked that can be difficult in Washington.
"In many ways it's easier to go to Afghanistan than it is Washington," Graham said. "At least you know who the enemy is."
Another one of his ideas for the Problem Solver Convention? Have the President offer lawmakers a drink at the White House.
"Maybe more than one. Get everybody liquored up and solve problems," he told the appreciative crowd.