Solved it! The 1920x1080 clip I provided works, but use multiAVCHD to create the AVCHD directory structure and use Imgburn with UDF 2.5 to burn the contents of the directory structure to disk. Before, I used tsmuxer to create the directory structure, but this does not work correctly.

Edit: I just tried it on my Panasonic Blu-Ray player and it works there too. That was the first time I saw the clip on my Plasma TV. Holy crap, it looked nice! I love my Plasma! I am really motivated to keep going now. I have a 3 week trip to Europe coming up later in July, so that will slow me down, but I definitely want to keep going now and get this done.

Edit 2: The black levels are what really stand out on the Plasma TV. After playing the clip a bunch of times, I noticed I need to adjust the black levels on the newer material. The older material is correct already. I will work on this and release a new clip.