It sounds like you are favoring a scheme where the most important thing is that the laws be consistent, whatever they are. But I think what the laws are is very much the axioms we must identify-- I see consistency as an attribute of the chosen laws, rather than as an uber-law. Any law could include some variability as part of the law, but it has to be a law-- the axiom has to specify what the law is. That's why I see the laws of general relativity as the crucial axiom that underpins the Big Bang theory, and that law includes consistency in space and time as part of its own description.