The methods/Theories used to produce claims of violations of First amendment and Due Process from the Revised statute are taken from Modern First Amendment Doctrines and approaches. The article as well utilizes previous court cases and their decisions to guide the analysis.
In terms of the Due Process Clause violation, the article states that any statue is in violation of the Due Process Clause if the statute is so standardless that is encourages or authorizes discriminatory enforcement.
In terms of the First Amendment, the article estabilishes first how the United States Supreme Court analyzes cases that contest the First Amendment. Their are three theories introduced that support the first amendment, if a law is found to be prohibiting these theories, a case can be made that it violates the First Amendment. These theories include: "self-realization", "marketplace of ideas", and "democratic value". To determine wether the regulation effects a speaker or the marketplace two models are used: "speaker based" and "audience based". These are used to determine wether the statute will effect the public discourse or the individual. In the end, the article argues how each of these three theories are violated and therefore the statute is in violation of the First Amendment.
The article as well looks at how the Supreme Court uses a "tiered-scrutiny" approach when analyzing the constitutionality of statutes. This allows the court to apply a different standard based on if the statute is content neutral or content based. Any content based statue is unconstitutional as it prohbits a certain type of speech. When a statute is content neutral, the court must provided evidence that the statute was content motivated.