It's a universe with a big blue naked man, you just accept that in that representation of reality, their actions are what a normal person could do with training. If they *are* super-powered, then the narrative falls to pieces because Dr. Manhattan would represent evolution not revolution...
Accept that the narrative of the movie might have fallen apart on more than one occasion.
I know Snyder doesn't worry about what's literally on screen when it comes to violence and people smashing things with their bare hands - he'd rather it look cool and give the feeling of uber-violence, rather than keep things real - but when the story leans heavily on the idea of what's possible and what's not, his bone-crunching granite-smashing hand-to-hand combat blurs the issues.
For the record, I thought Ozy's bullet catch was brilliant in the original (foreshadowed just enough, everyone's reactions making it more believable) but in the movie, it was glossed over like everyone was embarrassed by it.