There was a period of time in the very early years of the 20th century when the presiding Orthodox hierarch of America +Raphael Hawaweeny was convinced by the Episcopalians that they really believed the same things as the Orthodox. +Raphael issued an encyclical which directed the faithful to attend Episcopal churches when an Orthodox one wasn't available. After a few years he learned more about Episcopalian theology and issued another encyclical revoking the first and directing the faithful to have nothing to do with Episcopal churches or priests. Here's a link to the letter:
http://www.orthodoxresearchinstitute.org/articles/ecumenical/raphael_hawaweeny_episcopal_relations.htm
If that is what +Raphael witnessed at the turn of the last Century, imagine what he could tell us after an exchange with Episcopalian Bishops Spong and Vicki Gene!