So is it your position that a court can compel an oath that implicitly invalidates an inherent responsibility of a juror?
You refuse to take the oath, and you will be thrown off the jury. It's up to the judge as to what he does about it after that. But you might want to bring your toothbrush, just in case. But no, she can't make you take the oath. She might be able to make you wish that you had.