I was brought up RCC but my mother is Greek Orthodox (technically I am as well as I was baptized in a Greek Orthodox church). Of all my Greek relatives, I don't think I've ever met one who wasn't desperately interested in getting the Eastern and Western churches back into communion. Something like that would be met with jubilation.
As a side note of married clergy, something interesting I learned from my mother is that, while the Greek church allows priests to be married, it's a little deeper than that. According to her, while unmarried men can become priests, it is strongly desired that they already be married or at the very least engaged to be married (excluding those who go on the track to become bishops, which I'm given to understand is a separate path). The feeling seems to be that, unlike a bishop, the priest spends his time out among the people and needs a wife to keep him out of trouble :^) Word is that it's *very* hard for a single man to gain approval to start the path towards ordination.
I don't think the two Churchs will be communion anytime soon. However, they are both moving closer together, so it can no longer be discounted as impossible. I'm all in favor of clearing out the political issues first then move on to the tricky (and in my mind political/linguistic, though others may disagree) point of the filioque. After that, there are serious dogmatic differences that need to be addressed. Perhaps we could see another Council with all the Catholic, Orthodox and Oriental Churchs represented, IN OUR LIFETIMES.
He does, that is, if women represent a temptation to him.