I would say that THIS is a parody of the song in question:
And I WILL pass judgement on his video. He shows the twin towers burning and therefore is making the assertion that somehow Iraq was responsible for 911 (as something like 50% of Americans truly believe.)
My guess is that he figures that if the Dixie Chicks come after him, he only stands to bennefit by the free publicity. (You can't buy that kind of publicity.) At worst, he forks over all the cash generated by the sales of the song to the Dixie Chicks publishing company.