There is simply no way to apply these statements to the Arizona law but not to the Civil Rights Act of 1964. There's really no shame in admitting that you were unaware of the legal legitimacy of the sincerely held belief test.
I'd agree with you but then we'd both be wrong.
Friedman v Kaiser P. is not relevant here. The did not rule on whether any specific belief in Veganism is valid to Veganism. Instead it ruled that Veganism is not a religion and therefore not subject to FEHA protection. As ruled:
"Absent a broader, more comprehensive scope, extending to ultimate questions, it cannot be said that plaintiff's veganism falls within the scope of regulation 7293.1.   Rather, plaintiff's veganism is a personal philosophy, albeit shared by many others, and a way of life. As Associate Justice Werdegar has aptly noted, religious belief is other than a philosophy or way of life.  (Smith v. Fair Employment & Housing Com., supra, 12 Cal.4th at p. 1166, 51 Cal.Rptr.2d 700, 913 P.2d 909.)   Therefore, plaintiff's veganism is not a religious creed within the meaning of the FEHA. We quite obviously do not resolve the question of whether a vegan lifestyle that results from a religious belief otherwise meeting the standard in regulation 7293.1 is subject to FEHA coverage."
Note the last part: if Friedman's veganism had arose from a religious belief it may be protected. The court doesn't answer that question. Therefore, the court says nothing to whether a particular belief can or cannot be ascribed to a religion and what the test is.
The decision against Red Robin is similarly supportive. The plaintiff had Kimetic tattoos and were a symbol of his faith, thus protected by Title VII. Again
the court made no determination which beliefs were valid and invalid only that the tattoos were an expression of the belief.
As an aside, however, religious justification for discrimination has been overruled in the courts. In the original 1958 verdict for Loving V Virginia, the court ruled:
"Almighty God created the races white, black, yellow, malay and red, and he placed them on separate continents. And, but for the interference with his arrangement, there would be no cause for such marriage. The fact that he separated the races shows that he did not intend for the races to mix."
The Supreme Court would overrule that and stated that interracial marriage was protected under the 14th amendment. Now this is the government as defendant and the separation of Church and State was also in play, so I'm not saying it applies directly. Interesting, anyhow.
The bar for what constitutes a 'sincerely held belief' is so low (see
United States v. Seeger) that I cannot find a case where someone claimed such a belief and wasn't ruled in their favor, so long as it was successfully tied to a religion. Which gets to my point: The courts have not ruled (to my knowledge at least) whether some beliefs are valid and others are not for a particular religion. This is purposeful because 'sincerely held belief' has thus far been used to protect religions from discrimination. The government is not in the business of telling people what is and what is not in their religion.
Using Title VII definitions of religious beliefs as a basis to allow a religion to actively discriminate in a public accommodation should be ruled unconstitutional by the 14th amendment otherwise it will get the government in the business of choosing which beliefs are valid and which are not for a religion. I believe the first thing will happen and the second will not.
Anyhow, thank you for making me defend myself. While I still think I'm right in my look at the law, it's good to have to go back through the source material to convince myself. I wish more discussions were like this on this forum. And, as I said, if you can come up with a case where the courts have ruled that a belief was religious, but not 'sincerely held' I would appreciate it.