In North Carolina NC Gen. Stat 14-12.3 prohibits certain secret societies, namely those whose purpose is to violate or circumvent laws of the state.
It shall be unlawful for any person to join, unite himself with,
become a member of, apply for membership in, form, organize, solicit
members for, combine and agree with any person or persons to form or
organize, or to encourage, aid or assist in any way any secret
political society or any secret military society or any secret society
having for a purpose the violating or circumventing the laws of the
It is sufficient that illegal activity be their "purpose", regardless of whether they actually break any law.
It is rather common for all "secret societies: to be proohibited in public primary and secondary schools, without consideration of whether they advocate breaking the law. In Oregon, ORS 339.885, says
(1) No secret society of any kind, including a fraternity or sorority,
shall be permitted in any public school.
(2) The district school board may order the suspension or expulsion of
any pupil who belongs to a secret society.
(3) This section does not apply to any public university listed in ORS
There is a similar law in Florida, and in Texas, the later having the quirk of redefining "secret society" to be
an organization composed wholly or in part of students of public
primary or secondary schools that seeks to perpetuate itself by taking
in additional members from the students enrolled in school on the
basis of the decision of its membership rather than on the free choice
of a student in the school who is qualified by the rules of the school
to fill the special aims of the organization
So even a well-publicized "secret society" that votes new members in is deemed a "secret society".