Like a lot of you, I can remember the times in my life when the concept of seat belts, let alone a car seat was, well, laughable. As many a comedian has said, I can recall laying on the back deck of the car on the ride down 41 heading into Florida. At any rate, as for traffic accidents on the island... what we haven't seen hasn't affected us. The stuff happens, and it happens more than we lucky tourists might imagine.
Take a quick peek on this site, mostly news reports, lots of crash photos, so be careful where you wander.