Influential is a subjective term. To who is this list influential to, is it to individuals, or society in general? That's what the list is about sparko2010, this list is about people or in the case of Anonymous a group, who have influenced society. Now while I personally do not condone any of Anonymous's actions, I can see why they are on the list.
All of us on these forums have someone, or some group who has influenced us in some way. For me it is my grandfather, a Korean war vet, and my late friend who lost his fight with diabetes, and kidney failure. For others it might be MLK Jr., Gandhi, John Lennon, teachers, or athletes.
You also have to realize that list is who Time magazine thinks is influential, not who has actually influenced society. Lets not forget that this is the same magazine that named Hitler as Man of the year in 1938, and Joseph Stalin as Man of the year in 1939 and 1942. So you kind of have to take their lists with a grain of salt.