Tobias Haller, BSG has written a wonderful essay about the importance of meeting with those with whom we disagree. He ends the essay:
As to the Gospel, it is in how we relate to those with whom we disagree that we reveal our likeness to Christ, who came to us and was among us while we were yet sinners, who was in fact most commonly found meeting with the sinners as opposed to the righteous. The “mind of Christ” which we are called to have in and among ourselves was the mind that brought him to us empty of glory, in order to save. Christ himself did not delay his coming to us until we were suitably redeemed: the whole point of his coming among us, while we were at odds with God, was to bring us what we lacked — unity in him, and forgiveness. It is not the healthy that need a physician, nor is it the unanimous who require a meeting.
During my upcoming sabbatical I will be visiting congregations in New England to learn how Episcopalians are learning to treat with respect those with whom they disagree and are continuing to meet at the Lord's Table.