Ron Paul: I can beat Obama, too

Fresh off a close second-place finish in the Maine caucuses, Republican presidential candidate Ron Paul said he is "disappointed" with the results, but says he will stay in the race.

"I think I could beat him, too," Paul said. "I think I have appealed to some of those Democrats that he doesn't have."

But the Texas Republican had a word of caution for whomever the nominee is: "Any Republican who thinks he's a shoe-in should have another thought coming."

Paul said Mr. Obama has the advantages of incumbency and the ability to raise a lot of money.

As for the Republican nomination, Paul said the outcome is still up in the air.

"Things change," Paul told Schieffer. "This whole ballgame can change rather rapidly. . . . The others have been up and down. I haven't been down. I keep going up."

Paul finished a close second to the former Massachusetts governor in Maine's caucus Saturday, with 36 percent of the vote compared to Romney's 39 percent, but Paul had set his sights on winning Maine. Paul said he thought he could have won if one key county did not cancel their caucus.

"You know, we were a little bit disappointed last night," Paul said, "but we were disappointed that the one county where we have done the best in the past and we were expected to do the best in the past, they canceled their caucus."

Paul told Schieffer he is going to push onward. "We're going to continue to do what we do and do the very best and keep accumulating delegates," he said.

Paul said he is the only candidate with conviction who represents something different, and he lobbed criticism at his three remaining GOP opponents.

"Their records are far from being conservative," Paul told Schieffer. "I think the problem is that all three of them have represented the same system, the same status quo in not wanting changes."

To watch Bob Schieffer's complete interview with Ron Paul click on the video player above.