I only recently learned that the Satanic Temple split from the Church of Satan. The ST moved next door (to Salem, MA).
Anton loved Ayn Rand. Many TST members are appalled at Rand's ethical ideology, or lack thereof, myself especially included.
You'll find that in many areas, The Satanic Temple is diametrically opposed, and represents a much more coherent, logical, refined ideology, and wholly rejects social darwinism as mostly discredited, advocating instead for empathy and compassion, recognizing their evolutionary benefit.
What both organizations have in common is the demand for rationalist thinking, the belief in the immorality of God, the belief in personal freedom, and deriving their ideologies partly from the sciences of their respective time periods.