The radio star, his much younger bride and 400 guests were reportedly serenaded by Sir Elton

Talk about an odd couple: conservative radio commentator Rush Limbaugh and outspoken gay civil-union advocate Elton John.

But, according to a News Corporation (which owns Fox News) wire report, the Rocket Man, 63, serenaded the 400 guests into the wee hours Saturday night to celebrate the marriage of Limbaugh, 59, to Kathryn Rogers, 33, in the Ponce de Leon ballroom of Florida’s fabled Breakers hotel in Palm Beach. Sir Elton’s fee: $1 million, the report notes.

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Amid dozens of giant bouquets of white roses (and very tight security), reports the Palm Beach Post, guests at the wedding included former Bush adviser Karl Rove; actor-politician Fred Thompson; former Kansas City Royals slugger George Brett; Fox News commentator Sean Hannity; former New York City Mayor Rudolph Giuliani; New England Patriots owner Bob Kraft; former Clinton adviser James Carville and his wife, GOP analyst Mary Matalin; and golfer Tom Watson. A wedding guest also tells PEOPLE that among the others was Supreme Court Justice Clarence Thomas.

The couple met six years ago, while she was running a charity golf tournament and Limbaugh was in the process of divorcing for the third time.

Sunday morning, a source tells PEOPLE, the newlyweds hopped Limbaugh’s private Gulfstream jet for a honeymoon in Mexico, Africa and a couple other spots.

Rogers is a direct descendant of President John Adams, and her father attended the U.S. Naval Academy with the future Arizona Senator (and 2008 Republican Presidential candidate) John McCain, reports NewsCore.

The wire service also quotes the new bride as saying of the couple’s 26-year age gap: “I’m sometimes not able to relate to the average person my age.”