@Seek_Kolinahr I was just about to suggest that it was an original piece composed for the Star Trek television series. They did use original music, and the piece is used in the scene that Jim Carrey is referencing there. But the Klingon battle theme? It’s used here in a fight between Spock and Kirk, seems one wouldn’t use the Klingon battle theme for that.
However, I will have to bow to your superior knowledge of Trek lore and assume that it was.
Also, it’s frankly just too bad to be a piece of pre-existing classical music. I await correction by a classical music expert.