Here is your problem. From your link,
The Supreme Court suggested that, when determining whether a non-traditional religion has First Amendment protection, we should ask whether “the claimed belief occup[ies] the same place in the life of the objector as an orthodox belief in God holds in the life of one clearly qualified for exemption.”
What does a belief in God have to do with it. I mean first, let's get something clear. The founders, almost to the person, were not religious. They were deists. They believed in God, a God that set it and forgot it. The first Constitutional Convention had one member of the cloth. The second, not a one. Jefferson famously reinterpreted the bible, removed all the "red letters". He studied the Koran.
I am constantly amazed at conservatives. They have no concept of the long term. The SCOTUS ruled that it is OK for a football coach to gather his team together after a game, in the middle of the field, and pray to God. Fine, then it is also OK for another football coach, in the middle of the field, after a game, to behead a chicken and praise Satan. And hear me, it will come.