Lyric discussion by meowmeowlincoln 

In a nutshell, I believe this song to be about how morality is slipping away from humanity.

The plain clothes cop isn't literally a plain clothes cop, but a metaphor for the opinion of the general public; the idea that beauty queens are nothing but a spoke in the wheel, not caring about the Indian chief, the lack of belief in God. The plain clothes cop is really just humanity.

The beauty queen, who is upset at being called a spoke in the wheel, proves that she is better than just another cog in the machine. She gives a physical gift to a cripple, the thing she knows best (physical beauty). However, because the kid with the crutch doesn't really have a need for it, it's really an "incorrect" gift to give, thus making the beauty queen ignorant. This further proves how crappy humanity is, and to make it worse, she realizes it wasn't really what she wanted to begin with, since it didn't really make her look any better.

Now the white tooth man is a man with a perfect smile, physically looking like a nice person. But again, morality is slipping and it is not surprising that he commits the crime of robbery even though he has a white tooth smile.

In the final stanza, the cop tells the holy spirit that because he cannot physically hear God, he doesn't believe him. And again, the plain clothes cop is the general public, not literally a cop. Religion has slipped away from people's morals. Most importantly in the last stanza, it is likely the dog is what is truly important, since dogs tend to be loyal, trustworthy, etc. He will keep running away from what is happening to humanity until the world ends.

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