Yes, the AS Movies do have connecting rooms. We stayed in the Buzz section two summers ago and had a door between our two rooms. It was great. The kids ran from room to room.
Yes. I have requested a non-smoking connecting room at ASMo. The WDWT CM was very pleasant and even called the resort to make sure they would be gauranteed.
FROM MY UNDERSTANDING, YOU CAN REQUEST ADJOINING ROOMS BUT THERE ARE NO GUARANTEES. I WAS TOLD BY THE CM THAT I SHOULD CALL 4 DAYS B4 YOU CHECK IN DIRECTLY TO THE HOTEL AND THAT WAY IT WILL BE EASIER FOR THEM TO ACCOMMODATE