Actually, when I was a kid I sang.

I hate you.
You hate me.
Let's chase Barney up a tree.
With a pocket knife we'll stab him in the back.
…….

I can't remember the last line, but basically Barney's dead.

I used to sing something more like:

I hate you
You hate me
Let's get togheter to kill Barney
With an AK-47, behind the door
Let's say goodbye to the purple dinossaur!

Yup, totally normal childhood :3