People are exercising their right to control their children's healthcare. Parents control their children not doctors. Why are you equating concerned parents with ignorant radical islamic governments?
I am afraid I do not see the difference between people refusing to vaccinate their kids -- whether or not they are in Africa or the US. The parents who refuse to vaccinate their kids in the US are just hoping that most will not follow their lead. That way there will be no outbreak of disease. If the majority decide to follow suit, there will be outbreaks here too.