I intentionally left out the issue of infallability (for our brethren separated by the Western schism, infallability refers to matters of "faith and doctrine" -- i.e., the teaching authority), because it was decided concilliarly. Unfortunately, because of the Eastern schism, the council that took that decision could not be a truly "ecumenical" council (as with all the other councils that preceded it for the past 900 years). Hopefully that will sometime change.
You speak my language, brother. However, it will be difficult to convene the Eight Ecumenical Council when the West has held to the belief that all the councils after 1054 have been "ecumenical."