Hi Dizze, First Congratulations!

AKL is my all time favorite resort. I love, love, love it there. However, your honeymoon is a very special trip and you don't want anything putting a damper upon your time. In addition, Thanksgiving is EXTREAMLY busy. I also would imagine you would like a room with a King bed. Taking into account the construction, Thanksgiving and a King bedroom it may be very difficult if not impossible to move rooms or even resorts if you find AKL to be too noisy or having a view of bulldozers and mounds of dirt.
We were at WDW for Thanksgiving through December 11th last year. We stayed the first part at The Polynesian. We had a fantastic room (not a king bed however, as they only have Kings in their suites) Our view was surperb and everyone treated us like family. However, I did hear other guests who were looking to change rooms and were told everything was SOLD OUT.
The second part of our vacation we switched over to AKL for a week. This was our fourth visit to AKL and we were staying concierge level, we had request a King bedroom, Zebra trail, non-smoking. We were giving a King room on the 6th floor (Sunset Savannah) looking out over the beginning of their construction which made a big difference in our view and the number and types of animals we saw. During our week (which we spent quite a bit of time in our room we saw very few animals due to breeding programs and the prep they were doing for construction. We ask to be moved and they DID NOT HAVE a room available anywhere else in the resort.
I would suggest you look into other resorts for your dream honeymoon. Disney is always going to be there and AKL for an anniversary trip would be a wonderful celebration.
I am not planning any return trips this year, however if I were. I would look into staying at Wilderness Lodge or a Epcot resort perhaps even returning to the Poly. I do not want to let anything spoil my love for The AKL and I am afraid until they complete their addition I may be disappointed in my stay. What ever you do, have a wonderful time and let us know where you end up staying.

Angel16