The adults I know would become sickened by it, and the children I know would emulate it.
Where in the world are you living? The 1940's? The adults I know love it (ages 18 to 70), my 16-year old son enjoyed it and my 6-year old sniffled and cried at the death of Kirk and attempted to build a Lego Enterprise (no attempts at emulation, no skull crushings).
In the context of what Hollywood currently puts out or what I grew up with as a kid, Star Trek Into Darkness
wasn't very violent. No more so than Star Trek II: The Wrath of Khan
(actually less so in my opinion).
The ear scene is certainly more memorable, but I always felt the hanging, tortured, bloody bodies onboard Regula One was the most gruesome image in the film.
I always thought Terrell shrieking as he disintegrated was the most gruesome/haunting.