I am niether Greek Cypriot nor Turkish (which discounts my opinion substantially, I know); however, I will soon be moving permanently to southern Cyprus with my family and will have a stake in this. It appears to me that a civilized resolution could have been obtained between Greek and Turkish Cypriots in the past had it not been for the involvement of Greece and Turkey. Both Cypriot sides seem reasonable but with dissenting extreme factions, of course. Indeed, we are all aware that it was such involvement and perceived involvement on both sides 33 years ago that led to the occupation in the first place.
Going forward, EU membership actually makes this resolution harder, since Cyprus will now have to embrace Greece and Turkey (eventually) as "brother" states under the ridiculous constitutional laws of the French and Germans (who control the EU). This presents a huge hurdle and in now way would make the process of unification easier. However, it may help to heal old wounds if both Cypriot peoples ignore the Western mindset and thinking of their EU colleagues (I mean the French and Germans but also the westward looking Greeks and Turks too) and simply forget about these other, irrelevant ties and history and resolve things internally. Abive all, for once do not let Turkey nor Greece use you to settle their old scores.
One thing is for certain, however: the other EU members do not care at all about what happens.