"Re Mel Bay's copyright of "Twinkle, Twinkle Little Star": Anyone can put a copyright claim on anything. That doesn't mean the claim will stand up in court. It is pretty easy to establish that the "Twinkle, Twinkle" melody was written by Mozart when he was a child. I believe his name for it was "At Your Direction, Mommy" or however one would say that in German."

That's actually not true. Mozart wrote a series of variations on the melody as a child, but the tune already existed.

Anyways, I've recently been singing the alphabet "weirdly", though it makes more sense the way I do it.

Same Twinkle Twinkle tune, but I break the letters up slightly differently:

A B C D E F G
H I J K L M N
O P Q
R S T
U V W
X Y Z
Now I know my ABC &c.

Of course, sometimes nowadays we sing it to the Super Why song. It's just catchier :)