This is the same attitude as people who are afraid of commercial flying despite it being the single safest form of transport. I get it. But it's irrational.
You might not get stabbed, but driving is incredibly dangerous. Even just in terms of violence: road rage is tolerated to a large extent in America. The difference is that the news doesn't report even a small fraction of the traffic deaths in this country. In Iowa, the state I used to live in, around 300 people died every year from driving. I don't know a single one of those people despite their death being a tragedy. Whereas the stories you linked were broadcast coast to coast.
I can control the safety of my car by buying a bigger car, driving certain ways, etc. You are comparing risks you have no control over with risks that you do.
But I am in no way stopping you. Feel free to take USA public transit, and (i truly do not know how) look your family in the eyes and encourage them to do the same. I truly hope that I do not read about your or your family in the news in this light (nobody deserves that), but your chances will be higher than mine.
You might not get stabbed, but driving is incredibly dangerous. Even just in terms of violence: road rage is tolerated to a large extent in America. The difference is that the news doesn't report even a small fraction of the traffic deaths in this country. In Iowa, the state I used to live in, around 300 people died every year from driving. I don't know a single one of those people despite their death being a tragedy. Whereas the stories you linked were broadcast coast to coast.