I've discussed these points before. Nearly all the other wealthy nations have equal access to our "Hollywood violence and gore." The top movies every year in Western Europe, Canada, Japan, and Australia almost always are dominated by violent Hollywood movies. For example, the top five movies in Japan last year included four US blockbusters, all of which prominent violence and death. Most of these foreign markets also are dominated by US music, too. As I posted earlier, the top space on the German chart right now is Rhianna. Graphic video game violence is also common in these other countries. The Playstation, after all, is a Japanese device, and I know that so-called "first person shooters" are big in the UK, France, and Germany. So, none of that is a plausible explanation for the difference between the US and its international peers.
As for "having babies outside of wedlock," your effort to blame liberalism is a bit strange, since unwed motherhood is LESS common in more liberal nations like those of Scandinavia. In fact, every single Scandinavian nation has a lower percentage of kids living in single-mother households than the US has. Even within the US, more liberal states have less of a problem on that front. For example, my own liberal state of Massachusetts has 31% of kids living in single-parent families, compared to 39% in your more conservative state of North Carolina, and rates up to 47% in conservative states like Mississippi. If having babies out of wedlock is the issue, liberalism seems to be a cure, not a contributor to the problem.
On the subject of "Christian values teachings," remember that the US is the MOST religious country out of the wealthy nations, most of which are extremely secular (and at least one of which isn't even majority Christian). Yet we have the highest rate of violent crime of any of them. One could look at that and speculate that "Christian values teachings" were CAUSING our violent crime problem, but it would make no sense at all to speculate that a decline in such teachings is the issue.
In addition to all those obvious points, comparing us to other nations, you could also compare us to our own history. Violent crime peaked, in the US, in 1992, and has declined about 50% since then. Yet, since 1992, Hollywood violence and gore has arguably ramped up, rap music has taken over the music industry, violent video games have become multi-billion-dollar blockbusters, etc. So, if those things drive our violence problem, why has our violence problem been getting better while those things get worse?
Anyway, what's your explanation for why the US produces more deranged kids than the other wealthy nations? And why, do you think, we've been producing 50% fewer of them in the past 20 years (assuming deranged kids are really what's driving the issue)?