My claim was a car accident not strictly, riding as a passenger. I'll assume you weren't trying to be deceptive and provide the mortality rates from all vehicle related deaths:

"Any motor vehicle incident 1 in 114"

So yes, Americans are 3 times more likely to die in a car accident than by a gun. For Americans, use your own life experience: How many people do you know who have died in or by cars vs gun violence. Which one is fear mongered more?

Assuming you have 400 friends/acquaintances the probability of you not knowing anyone who's died in a car accident ~ 3%[1]. The probability of you not knowing anyone who's died in a gun accident is 47% [2]

Center for Disease Control has more comprehensive figures: https://www.cdc.gov/nchs/fastats/leading-causes-of-death.htm

[1] (113/114)^400

[2] (535/536)^400