Excellent analysis and classifications.   Now to your question - Heal divisions:

Suggestion - simplify the categories and focus on - is your faith focused internally or externally?  In other words - are you focused on the institution or our common journey and mission?

What can unify us is our common journey of faith - it is MISSION.

That MISSION is characterized by MERCY; walking with the other.

Bad news - for multiple reasons (stages of faith development), folks will choose to focus on the institution (and its rules/structures/bricks & mortar) while others will celebrate the meaning of the institution's existence - its mission, its common journey; etc.

In other words - some only see fear,threats, enemies (and thus withdraw, defend, and react);  others hear the gospel call and see opportunities, common journey, mission, ecumenism, etc.

Can healing bridge those differences?