YouTube Bans Terrorism Training Videos

As the title suggests, the article that I read, which was from the BNA internet news, dealt with the problem You Tube has been having regarding "Terrorism training videos". These videos involve things such as instruction as to how to make bombs out of everyday household items. While it is understandable that You Tube doesn't want this kind of content on their site, I found it very interesting how You Tube goes about deciding which videos to take off. "YouTube has not identified specific videos on its site that led to the change, nor said exactly how it will choose those that are purged." As you can see, this explanation leaves a lot of room for Youtube to more or less pick and choose what they want on their site.
I realize that Youtube has every right to decide what they want posted on their site. The reason I find this especially interesting though is the popularity of the site itself. With thousands of hits a day, Youtube is more than capable of influencing what people think about certain issues whether it be conscience or subconscious by simply picking and choosing what videos are posted. The question that this brings up though is whether or not Youtube has the ability to arbitrarily not allow videos onto their site indirectly on the basis of issues such as race and ethnicity.