My recollection is similar to PlutoPony's:
We walked directly to the ME desk after getting off the plane. One person from your party checks you all in. Then your entire party gets in your resort line. The "line" is wide and roomy with alot of happy, anxious people just starting their vacation - we actually had a good time talking with other excited families! We waited a very short time (less than 15 minutes) before we were directed to our bus. Our bus ended up with 4 destinations - WL, CR, Poly, and GF - in that order. I would say we were checking-in at the Poly about an hour after we landed.
I HIGHLY reccommed ME - not so much for the speediness, but just for the elimination of stress involved with baggage, rental car, tolls, directions, etc...