What philosopher actually proves anything? We've probably dealt with that issue often enough, but my devilish sense of humor drove me to ask it again.
I think Epicurus would say that he has 'proven' that the universe as a whole is eternal and infinite in size and there is nothing "outside" of it. Now obviously that's a different definition than saying "I've been there and seen it and you can rely on me" or "god told me to tell you" but as I understand that is what it means to be a dogmatist. You take certain things to be beyond dispute, with beyond dispute at least meaning that at some point it's not worth wasting further time to discuss. That would be at least analogous to our legal framework of finality.
Would they not have common respect for each other and be able to good naturedly but seriously, poke each other in the ribs verbally on this point or that?
I don't think that's necessarily so. We have the list of disparaging names that Epicurus is cited to have used against other philosophers in Diogenes Laertius, and we have that intensity reflected in Lucretius and Diogenes of Oinoanda at least. Am I saying that they would get into a fistfight? Or refuse to talk to each other? No, but I also don't think that they would say "let's all just get along and spend the rest of our lives having tea with each other.
And in the end, given the intensity that all of them felt about the importance of their philosophy, I doubt any friendly meetings would last much longer than necessary to explore any ambiguities that one felt that they might have about some detail of the other. They would see the importance of their own work as much more important than building bridges for the sake of unity.
don't think anyone needs to fear that comparative points on an Epicurean forum will confuse novice students. I suspect all forum members are already leaning into Epicurus and high level discussions.
That's trickier. Even at this point we're something of a "work in progress." I perceive I personally tend to want to confront other views more than I think that some others wish to do. And it's true that quarreling quickly gets tiresome, especially when it's readily available at Reddit. So that's why we have different sections and levels and try to meet as many needs as possible.