There's lots of different kinds of crime, each very unique in its circumstances. Just try comparing the stats for securities fraud vs. drug possession, for example.
DUI is a tough one, people of all socioeconomic backgrounds like to get drunk, and people of all socioeconomic backgrounds like to drive. Off the cuff, I might guess that the numbers would show DUI to be the most egalitarian crime, actually.
How about you look at facts before spewing PC-motivated 'guesses', like http://www.thelancet.com/journals/lanpub/article/PIIS2468-26... and http://injuryprevention.bmj.com/content/8/2/111 - both from the first page of my first google search, I'm sure it's trivial to find many more.
It's not exactly controversial to claim that lower income correlates to crime though.