Ace Ventura: Pet Detective (1993).
Mysterious attackers kidnap a dolphin named Snowflake, the mascot of the local Dolphins football team. We see both the dolphin itself and the helmet of an American football player in the enigma. Ace Ventura (actor Jim Carrey), who is looking for a dolphin, drives a 1972 Chevrolet Monte Carlo. There is an episode where Ace dresses up in a tutu.
I can’t say anything about the dove (I didn’t even watch the film, I don’t like grimacing Jim Carrey).