I don't mean to be rude in any way and I feel terrible about what happened to your car, but what on earth is the thought process on not calling the police???

It makes NO sense. Regardless of the circumstance, you should call the police when something like this happens because you will NEED a police report. Without a police report, everything can be questioned. Even with witnesses. You want to get the other driver's information, you want to document the exact time, weather conditions, license status of the other driver, and most importantly damage.

ESPECIALLY when the damage is fairly major. I know you'll run it through insurance and hopefully have it taken care of, but you have no idea how often a seemingly simple situation in which the other driver is agreeable turns south. I've heard and see it personally happen to family members.

So, bean is 100% correct. Always call the police.