We once arrived at ASMu around midnight via ME. All went very smoothly. We had a short stay, so we did all carry-on. The ME bus driver was especially nice, and kept everyone on the bus talking to each other and entertained. There was no line at all at the resort, and even with a last minute reservation, our room location was really quite a goood location for a standard room. Now it wasn't Easter week, but we were still quite happy.
Other times when we've had late arrivals, back before ME, when you kind of had to rent a car, we spent our first night off-property at an inexpensive room, and that worked very well too. In fact, it was SO much cheaper to fly out a day early, that we not only saved money - we came out ahead - what a treat that was!
the only thing I'd caution you about is being careful not to lose anything - on the plane or in the airport. You may be tired after a long day, so take a little extra time to make certain you have everything. Oh, and if your flight is delayed or anything, you could arrive at the resort (esp after check-in) to find all the eateries closed. I get ravenously hungry when I travel late like that - so plan accordingly. There's a 24hr DEnny's on I-Drive that we've hit up more than once!