we were there from 4/27 - 5/4 and really didn't experience any real problems with crowds - i figured we were in for a good week when the first day we started at lion king show and the theater was half full!!! although i do feel this is the least crowded park i've never experienced that before.
i think if you utilize the fast pass you are in for a great time - the only ride we had to pass on was peter pan and that was cause we got there late in the day and the wait was too long when we tried to get on it twice.
just think out your strategy before you get there and hit the main rides first and you'll be fine.
to give you an idea we walked right onto/into: tree of life, lion king show, tarzan rocks, pirates, thunder mtn, mission space, test track, indiana, rock n rollercoaster and so much more but those are the biggies in my book.
you'll have a great time!!