Ferrari has altered its driver line-up for the first time since the start of 2010 as Raikkonen returns to the team with which he won the 2007 championship, replacing Felipe Massa.
Alonso has enjoyed priority over Massa since 2010 and, with Raikkonen also a world champion, Di Montezemolo admits that it is a risky strategy for Ferrari.
"Putting together Alonso and Raikkonen could be dangerous," he told Reuters.
"But in Formula One ... everything is potential danger. I think that Fernando knows that he drives not for himself but for Ferrari. And Raikkonen knows that he is in the second half of his career, two very important years for him, with experience and responsibilities."
Ferrari also paid tribute to their former driver, Michael Schumacher, on the occasion of his 45th birthday.
The Scuderia Ferrari clubs held a vigil outside the Grenoble hospital treating Schumacher, who won 72 races and five world titles during his 11 year stint with the team.
Over 200 fans, most dressed in red, gathered outside the French hospital to send wishes to the injured former world champion.
Schumacher sustained severe head injuries while skiing in Meribel on Sunday and has been in a medically induced coma since his admittance into hospital.
He remains in a stable but critical condition.