I can agree with the Islamicists about one thing: our popular culture, foisted on the world by Hollywood, really stinks.
Ah but look around the world and you won't necessarily find "better" culture. At least in America, nudity is still kept off the broadcast networks as is profanity, and there is no government news network. There are no commercial broadcasts of racial superiority/inferiority programming (only on public access will you find that bunk).
Scatological porn, bestiality porn, and child porn are all kept out of the marketplace (although some places in "enlightened" Europe tolerate them).
Our "news" broadcasts may highlight death and disaster but they are largely blood free (no grue is seen in the multiple car accidents televised every night). In Mexico there are entire magazines devoted to death photos.
The "mondo film" craze came up to speed in the 1960s (starting with the Italian film Mondo Cane). While mondo films still got distribution on video in American through the 1990s, they got theatrically released in other countries (where they were produced). Faces of Death type mondo films often took news footage of murders, suicides, accidents, executions, etc. for their compilations.
America does have a lot of trashy culture that is pumped out to the rest of the world. Then again the rest of the world is consuming much of it and offering their own trash (often more explicit/distasteful).
There are many times where more "enlightened" countries call America "prudish" or "puritanical".
Islamist culture is oppressive and ugly in its own regards.