We did the red eye thing for a couple of years when we were on the west coast and all the family was in the south....actually the kids always did better than us adults!!
If you aren't opposed to pharmacologic intervention a little Dramamine always sent them off to slumber land (give it an hour or so before take off) and took care of the one that tended to get airsick at the same time. They usually slept through the whole flight, especially if the plane wasn't full and we could get 3 seats across and share it, 1 parent and 1 kid. Grab a blanket and a pillow as you get on for each of them....and they will get in several hours of uninterrupted sleep.
Usually for mine the adrenaline rush of getting to WDW carried them through the AM just fine... we all were usually out of steam by mid afternoon, which worked out pretty well time wise....the room would be ready when we got back and we learned not to make big dinner or evening plans for that first night....just have dinner at the hotel, go for a swim, shop a little or whatever and call it a day.
One time we were checking into a standard view (cheapo room on an AP discount at that) at the Beach Club, we went back to the hotel about 2:30 and the room wasn't ready yet, so we sat down in the lobby. DD (probably 7 at the time) promptly falls asleep in my lap, other DD and DH sit on the next couch and appear to have fallen into comas...about 15 minutes later the bellman taps me on the shoulder and hands me the room assignment and offers to get me a wheelchair so I can hold DD while he wheels me up to the room....I thank him, but decline and we go to the room to find thay have given us a lovely upgrade to a HUGE waterview room/junior suite arrangement. I never knew if they felt totally sorry for us and it was a sympathy upgrade, or they just wanted to get all the vagrants out of the lobby before we scared people away and it was all that was open at the time!! But either way we LOVED the room!!