Driver lying about it being our fault after car crash.

I was a passenger in a car accident in Los Angeles, CA and I’m trying to understand how liability will likely be determined.

We were driving straight on a main road with the right of way. The other driver was coming from a neighborhood street with a stop sign and pulled out into our lane, and we collided. Our driver braked but didn’t have enough time to avoid the crash.

Our car has severe front-end damage (likely totaled), and the other car has damage to the driver-side/front corner. There was debris from our car in the main roadway where the impact happened. Police came and told us to file a report online which we did after.

The other driver is now claiming they were fully stopped and that we lost control swerved and ran into them. They also have an attorney, and so do we. There’s no video footage.

As a passenger, I had a nosebleed at the scene and now have soreness, and the driver has a hand injury.

Given this situation (stop sign vs main road + damage patterns + conflicting stories), how do insurance companies typically determine fault in California? Is it likely to be clear fault or shared fault? I have photos of the debris on the main street from our car and photos right after the impact where their car was right infront of ours from the passenger window.

Location: Los Angeles, CA