Hello, first, I suppose I should state that my question involves an incident that took place in Kentucky. My wife, who is 6 months pregnant, and I were driving home early Thursday morning(on the biggest bar night of the year) when a car ran a red light and crossed our path at an intersection, resulting in us striking the back quarter panel of their car. It was a clear, blatant case(or so it seemed): we were traveling through a green light, they ran a red light, we didn't have time to fully brake or swerve out of the way, and we struck their car. No one was injured, but when we pulled over, the driver of the other car, a 21-year-old female, and her friend(boyfriend?), were quite obviously drunk. She admitted to us that she had had "a couple of beers," and at one point she stepped behind a large pillar and appeared to vomit. The driver begged my wife and I not to call the police, but of course we did. Since it was 2 am on the biggest bar night of the year, it took more than an hour for the police to arrive. During that time, the driver continued to beg us to just take their insurance information(which we did), and let them go. Finally, the police arrived. My wife and I naively assumed that the driver was going to take responsibility, but she instead proceeded to tell the officer that her only fault was running a yellow light. They did not dispute that we had a green light. For some incredible reason, the officer did not issue any citations, nor did he conduct a DUI test on the other driver. He stated that he did not sense that she had been drinking, and that was that. My wife and I now wish we had told the officer to look at the area where the girl vomited, but we didn't. Again, I am very thankful that my wife and our unborn child appear to be OK.
So now, a few days later, we come to find that the driver of the other car and her passenger are claiming that WE ran the red light. The officer did state that he was going to file the report stating that the other driver was "unit 1," which he explained to mean that they were "probably" the instigators of this accident. Our car is most likely totaled(it's not an expensive car, maybe worth $3,000), and we now have to go through a long investigatory process.
We have opened a claim with our insurance company, as has the other driver. I spoke with the claims department of the other driver's insurance company, who told me that we will soon get a call from an independent investigator to get our side of the story. The police report has not been filed yet, but we're expecting it today or tomorrow.
My question is: Is there anything we can do to get the truth out in this situation? A lot, I guess, depends on the police report, but my gut tells me that it's going to state that it's a "he said, she said" situation, although I guess the fact that the other driver is "unit one" will be helpful.(?)
Do we just sit back and let the insurance companies handle it? Or is there anything proactive that we can do? We're eager to get to the bottom of this. Separately, is there anything we should be aware of when our insurance company determines the value of our totaled car?
Thanks so much for your help.

