Tires don't cause accidents. The person driving the car does.
Regarding the damage to the car, that is easily repairable. I needed everything from the xbrace forward and working with the body shop (NOT the insurance company) we decided an acceptable path forward on used versus new on the parts, and all within budget of what the insurance company was paying.
The most important person to you right now should be the person repairing your car. You can argue to your wits end trying to milk a few hundred more dollars on your claim, getting your insurance company to pay more. But in my case, I took the matter straight to the body shop and in a matter of hours had $18K off the insurance estimate. Yes, the insurance company had $41K, and by the time I worked through it with the shop, we were down to $23K. All of this using either brand new or Viper dealer used parts, and a body shop that is a VCA sponsor. Nothing chickenship, all first rate top notch parts / paint / labor.
Did I mention that the key to your repair is the shop, not your insurance company?
Also, as they were establishing the value of the car, I have awesome records of all the mods I've done. Including several thousand pics. Three mods stand out in the insurance company evaluation:
Custom iForged wheels, full SRT / ACR brake upgrade -> I spent $13K, $0 added to value.
3.73 gears and OS Giken Superlock -> I spent $4K, they SUBTRACTED $20 from the car's value.
Custom seat covers -> I spent $1300, several years later they add $650 to car's value.
Summary: 2 performance mods that many would want, minus $20. Used seat covers, plus $650. And you want to reason with or argue with these insurance morons?