WASHINGTON (CNN) -- Arguing "people's private life should be private," Arizona Sen. John McCain said Friday matters such as Newt Gingrich's admission to an extramarital affair while House Speaker should not be campaign issues.

"I do believe people's family difficulties as much as possible should be kept private," McCain said in a press conference in Charlotte, North Carolina in which he announced Sen. Richard Burr had endorsed his presidential campaign.

"I am a great believer in redemption," he added. "I'll tell you that, given my life."

The GOP presidential candidate also brushed aside suggestions he may not fare well in some states, such as South Carolina, whose GOP primary voters are largely social conservatives.

"We have the support of a number of people, social conservatives, we have moderates, we have liberal republicans, we are very happy with the groundswell of support we have," McCain said.

"I understand there are people who simply will not support, I intend to reach out to all parts of the Republican Party, all parts, we are a big tent party," he added.

Watch McCain's call for privacy