not sure you can keep the cutscene and keep the music...
perhaps if you have a trigger that detects your death and then uses playmusic to play some custom file it may override the music that is supposed to be playing.
as far as how to alter what the player sees on their death
there is a script called
onplayerkilled.sqs that is called up and that is what zooms out and shows you who killed you ...
I'm almost positive... (haven't done it myself) that simply placing an onplayerkilled.sqs script in your mission folder will cause that script to be called instead of the games internal one of the same name..