Paul–I don’t want to take the Locker Room discussion in an
inappropriate direction but I must suggest that you overstate the
differences between the Roman Catholics and the Orthodox. There is much
more that unites them than divides them. They share the same 7
sacraments; the importance of the liturgy; the real presence in
the  Eucharist; (with some subtle differences, Dormition vs.
Assumption) the Marion doctrines and the role of Mary as intercessor;
the role of saints in mediation. I could go on. Yes there are
divisions, but not like there used to be. For example the filioque in
the Creed is not doctrinally important for Roman Catholics and the
Church has acknowledged this and has encouraged Eastern Rite Churches
not to use it. Even differences on issues like purgatory are only
apparent and may only be semantic. The Orthodox believe in a
“cleansing period” for the soul upon death. This is why praying for the
dead in Orthodoxy, as in Catholicism, is typical. I personally think
that the biggest obstacle to reunification of the two Churches is the
role of the papacy. That may turn out to be overwhelming but I don’t
think that it necessarily will be. I think compromise is possible even
on this issue. But I think that the strongest evidence that the
doctrinal differences between the two churches are not insurmountable
is the existence of the Eastern Rite Churches which are part of the
over arching communion of the Catholic Church. (The Catholic Church is
actually a communion of 21 different churches. The Latin rite happens
to be the largest.) These Churches maintain all of their eastern
(orthodox) practices and traditions including married priests, the
Creed in its original form, the Eucharist in both species, etc. Not
only are these practices not discouraged by Rome but they are
completely encouraged.