I'm from EU, and i've been driving both manual and automatic transmission. I can testify that auto transmission is safer, your hands are 100% at the steering wheel. Most people cannot turn and change gear at the same time.
I've also spend quite a bit time in US driving. EU is safer as narrower streets/lanes and smaller number of lanes (on highways), closer parked cars and pedestrians/bicycles forces you to pay much more attention.
Sweden has very strict tests for the drivers license, and afaik you can easily pass those without ever turning (more than a fairly small bit) and changing the gear at the same time. With the planning you are supposed to learn this is kind of a natural consequence.
I've also spend quite a bit time in US driving. EU is safer as narrower streets/lanes and smaller number of lanes (on highways), closer parked cars and pedestrians/bicycles forces you to pay much more attention.