I agree, parents should have the right to make that decision, but only if their child doesn't have a strong enough immune system. There have been some cases of this. I think there are risks for having neurological problems, but like it was stated above, the risks are low.
I don't think vaccines are the end all be all though. Viruses can eventually become immune to the vaccine. I'm not an expert on human health, but I know animals to some degree, (I still have 3-4 more years of school left


) and animals and humans are similar in some ways (why do you think mice are experimented on). Like in cats for example. I don't know all of the vaccines used for cats as of yet, but I do know that there are several types of vaccines in use. Unfortunately they don't always work, which can sometimes be the case in human beings too. Sometimes it can be due to improper handling and storage, incorrect administration, or an inability of the cat to respond to the vaccine because of a run-down condition or concurrent illness that stress the immune system.
If given too many vaccines at the same time or too frequently, it can cause an immune system overload and a failure to produce antibodies. Also, we have to remember that in humans and animals, if already infected, vaccinating him/her will not alter the course of the disease.
I'm sure this is similar in people, though I could be wrong but when stretching out the vaccine by dividing a single dose between two cats, is another reason a vaccine may not be effective.