Totaled truck (insurance/liability question)

I was searching for a right forum to place this post. This seemed like a right place. Please move the tread if there is a better place. Thanks

I just got one of my trucks totaled this weekend.
Let me explain the situation first.
I had a team running CT-OH load and in NJ some guy basically rammed them of the road.
The guy that was driving had to steer and ended up on the shoulder where he lost control and ended up in the woods. There was another semi behind them who saw everything and waited there to explain it to the trooper.
The other truck of course fled the scene (good thing is that it was noted on the report)
The truck is totaled as far as I saw from the pictures

Now, couple of questions:

Who will be liable for this if they never find the driver of that other truck?
Would he be considered at fault even if there was no physical contact (my guy just tried to avoid him as he was swerving at him)?
I have a separate physical damage and evrything else (auto, general, cargo, trailer interchange...)
I guess I should file it under physical damage but then we come to a moment where my drivers change trucks a lot! and it is really hard to keep track of that. At the moment this driver that was behind the wheel was not listed on the physical damage policy for that truck but is listed on our main insurance policy (again, they are separate, two different companies)
Did anybody had/heard similar situations and what was the outcome?
Any suggestions?

Thanks

 

Well, the driver was listed on all the policies but he was not associated with that truck in particular for the physical damage one that is completely separate from the rest

 

Thank you guys

All this triggers a question

So what if the other driver fled the scene?
It's the same if somebody pulls a gun at me and I OF COURSE start running and fall down or hurt my self while running. And there was a witness to all that.

BTW what I didn't say is that the other truck was honking like crazy and flashing to pass them and then he just cut them off. Isn't that reckless driving and it should be considered a violation?