See #4. torqemada is right.
From the point of view of traditionalists, the larger church derives legitimacy from the Bible. To the degree that the larger church adheres to Biblical principles, legitimacy exists.
Revisionists think the legitimacy of the church derives from THEM. They think we care what they think, what they "feel," whatever spiritual "truths" they "discern."
This is truly two churches existing underone roof. I don't see any possible basis for reconciliation.