"We are no less mindful about what happened in the past," he said. "We are about celebrating the future. Andy is very much a part of Dunblane's success story."
Relatively few people in the city were alive in 1938 when the last British player, Bunny Austin, played in the men's final, losing to American Don Budge.
Fred Perry was the last Briton to win the singles title, in 1936.
McLean, of the Dunblane Hotel, knows Murray's work will be cut out for him Sunday.
"Andy has beaten Federer lots of times, but Federer is the ice man," McLean said. "He is so cool. Andy is going to have to raise his game."
Foster-Fulton watched some of Friday's match, but went grocery shopping when the match tightened. "I couldn't cope," she said.
Sunday morning, she will lead services at the cathedral, which is affiliated with the Church of Scotland.
Asked whether there will be any sports-centered supplications, the minister said, "Quiet ones, anyway. It's tempting."