Until she died in 1995, Rose Kennedy, the family matriarch, would regularly take her place in the front row of the east wing of the church. It is also where Patrick J. Kennedy, Ted Kennedy's youngest son, was baptized and where Maria Shriver, Kennedy's niece, married Arnold Schwarzenegger in 1986.
Just steps away from the "Kennedy Church" is the John F. Kennedy Hyannis Museum, where an iconic statue of the former president walking through sea grass has formed the backdrop for thousands of visitors' photos. Inside the museum, room after room is chockful of Kennedy memorabilia.
"In looking back, I realized the Kennedy saga was so much about what could have been. But Teddy really did it. He really accomplished so much, despite all the horrible things that happened in his life. He did what the others didn't," said Converse.
Now that Sen. Edward M. Kennedy, the last Kennedy brother, has died, many wonder if the Kennedy mystique will die with him, if the thousands of people who come to Hyannis Port every year just to brush up against an American political dynasty will keep coming?
But most residents can't imagine Cape Cod without the Kennedys or their followers. And they will tell you that as long as there are Kennedys, those Kennedys will come to Cape Cod, and as long as they keep coming, people from all over the world will too. Dotty, a docent at the museum who didn't want to use her full name, put it simply, "They're like our royalty."
ABC News' David Wright contributed to this report.