Many do not, many do. There is a Haredi unit, and they can serve if they choose. Besides, I know personally, anecdotally, several Yeshiva students who did serve, and at least 2, that I can recall off the top of my head, who were American citizens and volunteered to serve in the tank corp...and saw action in Gaza...
By the way, a very good friend's son, studied in Yeshiva and is serving right now.
Of those who do not, do many serve as Ambulance drivers instead?
Hey sofa.
The Orthodox as I know you know preform a service of collecting bodies and parts after terrorists bombings for
proper burial.
I see them all the time on TV after the blasts with the yellow orange vest.