I'm not sure exactly what mainstream american presence means, but the "Taken" phone speech has some massive recognition.
I agree 100% that toning down action films (and horror films) that plainly SHOULD be "R" films to be PG-13 has seriously damaged lots of films. I also think there's something vaguely immoral about it.
I watched "Dredd." There's a dude who's shot and dies crying in a puddle of his own blood. I watched "Man of Steel" where tens of thousands of people die off camera and no one seems to mind, or "Expendables 3" where people die and it's funny.
Which film is REALLY inappropriate for children? The one where violence is awful, or the one where violence is fun?