Red Bull's Sebastian Vettel extended his lead over Alonso to 13 points after he won the Indian Grand Prix on Sunday but Di Montezemolo has insisted that he was impressed with his own driver's performance.
Montezemolo said: "Alonso was exceptional in India. Drivers and team have never been more united to give 120%.
"We're more united than ever, and the team is working on further improvements with the last three races in sight.
"We're ready to give it 120%, just like Alonso. We'll fight for the championship to the last kilometre. I'm very confident."
The next grand prix on the Formula 1 calendar will take place this Sunday in Abu Dhabi.