RumTumJM - I didn't notice any changes to the wedding scene with Jafar. The effect for his transition to sultan and then genie was the same in both shows I saw.
ryandl15 - This photo is the set before and after the carpet ride. It's a window in the palace (actually a full circle on stage), and like the movie, Aladdin jumps over the edge and then reappears standing on the carpet.
https://www2.broadwayworld.com/viewcolumnpics.cfm?colid=623213&photoid=474625#sthash.j3PbI40M.dpbs After Jasmine jumps on, the four pieces that make up the window set fly out (the bottom piece lowers) and the moon disappears, so the stage is dark except for the lights that represent stars you see on the backdrop. Aladdin and Jasmine are lit from below by lights in the carpet.
It's a very smooth ride and the carpet can turn 180 degrees. What's also impressive is the safety rigging for the actors is very discreet - they just seem to jump on and off with no visible harness or anything.