Examine the logical coherence between the following religious scenarios and constitutional jurisprudence:
1. Evidence 1: A group claims Article 26 rights, proving they have a distinct name, common organization, and shared system of belief. Inference 1: The judiciary will likely recognize this group as a valid 'religious denomination'.
2. Evidence 2: In the Sabarimala case, devotees of Lord Ayyappa asserted independent collective rights under Article 26. Inference 2: The Supreme Court validated this assertion, declaring them a separate and distinct religious denomination.
3. Evidence 3: A religious sect practices an extreme ritual that explicitly violates the fundamental right to life of its members. Inference 3: Using the 'doctrine of essentiality', the court will protect this ritual if the sect proves it is historically integral to their faith.