Playing any music could have an potential impact on a persons mood/behaviour. Although the effects I suspect would be quite subtle in many cases.
However simply playing "classical" or orchestral music wouldn't cut the mustard - you'd have to look at the features of the music itself.
An orchestral piece full of bombast or of a high tempo is likely to have the same effect as a drum heavy metal track.
This paper: David L. Wiesenthal1,*, Dwight A. Hennessy, Brad Totten (2006)The Influence of Music on Driver Stress - found that driver stress could be reduced by allowing drivers to listen to some music of their own choosing.
This paper: Warren Brodsky (2002) The effects of music tempo on simulated driving performance and vehicular control - found that the tempo of music can affect an individuals arousal with faster tempo music (regardless of genre) consistantly being linked with poor driving.