You have a right to refuse vaccines. You can use other reasons rather than religious!
Also maybe this Thinktwice site might have something that will be helpful to you:
The following is a form that I have used with the school and I have had no problems:
Vaccine Exemption Form
We have chosen not to vaccinate our child, ____________________ because we are philosophically apposed to the concept of vaccines.
We maintain this is a responsible and ethically justifiable position for the following reasons:
-A vaccination is a medical intervention performed on a healthy child that has the ability to result in injury or death of that child.
-There is no guarantee that the deliberate introduction of killed or live microorganisms into the body of a healthy child will not compromise the health or cause the death of that child, either immediately or in the future.
-There are no guarantees that the vaccine will indeed protect the child from contracting a disease.
-There is an absence of adequate scientific knowledge regarding the way vaccines singly, or in combination, act in the human body at the cellular and molecular level.
Therefore, we believe that vaccination is a medical procedure that could reasonably be termed as experimental each time it is performed on a healthy child.
Our state law makes provisions for non-vaccination of children whose parentsâ€™ object to vaccines for medical, religious, or philosophical reasons. We accept responsibility for the health of our child, and because of philosophical conviction, will not have our child vaccinated.
In the event of any infectious condition, our child would of course remain at home.
Hope this helps you! God bless!