2bshvat, The First Amendment is not absolute. The classic example is that you cannot scream Fire in a theater when there is no fire.
The Government compels hospitals to obtain a signed informed consent from the patient after all possible complications are explained.
The Government compels drug manafacturer’s to disclose all possible side effects, np matter how rare.
The government already regulates our marraige ceremonies. All clergy, including rabbanim, in NY are forbidden to perform a religious ceremony without also making sure that it includes a civil ceremony.