I respect the EP, but at the same time, speaking as an ex-RC, I would be very cautious to be extremely clear on what you consider to be the aims of any future dialogue with the RCC, as I can tell you from experience that many Catholics (both Latin and Eastern) are under the impression that the dialogues represent things that you probably don't think they represent (e.g., "well if you guys don't agree with us on X, why do you have this agreed statement with us/why do you still meet with us/etc.?" I've talked to many, including those who used to be Orthodox, who seem to think that we really agree with everything we say we disagree with them about, but just don't want to admit it).
I'd as soon avoid anything that isn't at the individual parish level (as other posters have mentioned, things like marching together at events in a city, working together to feed homeless, etc.), but I guess they don't let us recent converts decide these things, with good reason.
The trouble with the RCC is that is presuppositions and way of being Christian are so different than those of the Orthodox. I think the EP was really on to something when he said in his famous "Phos Hilarion" speech at Georgetown a few years ago that we have become ontologically different, and that reunion won't come without one common model of existence is sought (or something like that). From conversations with old Catholic acquaintances, it seems that most would be content us to keep all our funny ways (within existing Eastern Catholic Churches...), if we'd just agree to "accept" Rome or proclaim the "validity" of Rome (both according to Rome's ideas of what that involves, of course). That's not going to happen, so I hope for all of our sakes that this fact is delivered loud and clear to all of Rome's faithful, from the Roman Pope on down, lest any talks lead to more confusion and trouble than increased cooperation.