I'm not sure I understand why religion (and First Amendment?!) is being brought up in the context of this bill.
Anyway, this is a good bill. This is a step in the right direction. This bill promotes preventive care, which is multiple times cheaper than treating people after they contract a disease. So, if anything, this bill is taking money AWAY from big pharmaceutical companies... Do your math.
Regarding the diversity/religious issue brought up by others: we need to recognize that King County is in a very peculiar position due to its very diverse population. We have people from all parts of the world, some with health standards that are not as high as the US. The only way to prevent certain deseases from coming here (brought by people travaling to their home countries and back) is to have a immunized population. I would feel much safer knowing that everybody is taking their shots, even if they visited, say, India or China recently.
So, this is a good way to promote an inclusive diverse society! Having everybody vaccinated to the same standards makes sure that we can enjoy the levels of diversity that we are enjoying today without compromising our public health!