Months ago it was scheduled to open on July 7th (to coincide with the release of the new PotC movie).
But from many discussions here recently, and from the re-furb notice dropping off the official WDW on July 1st, and the big July 4th crowds pouring in around July 1st...
many of us are saying...
JULY FIRST!
(But we won't know until they actually OPEN it.)