That's the right way to do it.
In this case, though, what more is there to see? The man drove his car down unoccupied streets for about two blocks, ignored side streets he could have turned off onto, and plowed into a crowd. I don't see how having his car being hit with baseball bats warrants running over people at speed.
It probably does not, but we will not know that until the case is adjudicated. Self defense has levels of justification. It can be a blatant case of self defense where a person is not charged with a crime. It can be a grey area of self defense where the person is charged and self defense is entered as an affirmative defense.
You have to also keep in mind that some people lose their ability to think clearly once their "flight or fight response" has been triggered.
I was ambushed and hit in the head with a PlayStation. The original one, heavy as a brick. The next thing I remember was long after backup arrived. I had a concussion, they originally thought skull fracture, some bruises, scrapes, etc. He was messed up pretty good. I had him in cuffs when backup got there, but don't remember anything past the initial blackout. His mother said that I beat him pretty good with the baton but she said he was fighting the whole time. She said I quit using the baton when I finally got him on the ground. I don't remember any of it.
Original call was he hit her with a broom handle.
He was convicted of aggravated assault on a peace officer and a list of lesser charges. I believe he got 20 years plus about 15 more years consecutive. The 20 was a 90% mandatory. He will serve 27 to 30 years.
It is unreasonable to expect a person to make the best choices under some circumstances. Once you trigger someone's extreme fight or flight response, realize that you will probably not receive an equally measured response.