One of the Turkish commanders in that battle, Uluj Ali, was actually an Italian renegade. He later became the commander of the entire Ottoman navy.
Some of the grand viziers were of Serb origin. Christian boys from rural areas were taken from their families in the "devshirme"--some ended up as janissaries, others as bureaucrats--the most successful of the latter became grand viziers. Ivo Andric's novel The Bridge on the Drina tells the story of Visegrad on the Drina River in Bosnia, which had a magnificent bridge built by a grand vizier who was born nearby and taken away in the "devshirme." (He made his brother, who remained a Christian, the patriarch.)
At the Battle of Lepanto, Christian forces captured a banner from a Muslim ship. This banner was kept at the Vatican until recent times. It was returned to Turkey as a gesture of friendship, and now is on display at the Naval Museum in Istanbul. I saw it there while visiting the Museum.
There is also a display at that Museum showing Turkish forces sinking some British ships during World War I. When I saw that, I suddenly had the feeling I was behind enemy lines.