Everyone, even the atheist furry and the cis-Baptist, professes belief in equal outcomes for equal situations; the problems arise both because we all have differing discretion functions to determine situations given facts and law, and because we all have different equivalence* relations on outcomes.
All a n i m a l s are e q u a l
(but some are more equal than others)
* consider reflexive vs irreflexive symmetric transitive rel'ns, or the US doctrine of "separate but equal" (1896-1954)