His lawsuit claimed that the new federal requirement to report illegal immigrants violated the 10th Amendment.
Judge Hull ruled that the requirement violated the families' First Amendment rights.
The Court agreed, adding that the requirement also violated his freedom of thought and speech.
But the requirements for getting on the Republican primary ballot, he argues, violate common sense and the Constitution.
The court addressed whether a requirement that all licensed drivers be photographed unconstitutionally violated the Hutterites' right to freedom of religion.
But the administration balked, saying such a requirement would be technically difficult and could violate callers' privacy.
Some Webcasters say fulfilling that requirement would violate their privacy policies.
Any requirement that states spend a certain amount for a specific purpose "would violate the basic tenets" of the law, the governors contend.
Those courts ruled that such a requirement would violate the separation of church and state.
Williams argued that the requirement to assist the prosecution in this way violated his Fifth Amendment right not to incriminate himself.