Did you look at the crime stats on the Racine City Data page?
http://www.city-data.com/city/Racine-Wisconsin.html
You could also check out the Milwaukee Journal-Sentinel website to see what kinds of stories are coming out of that area:
Milwaukee Journal Sentinel
And Racine's Wikipedia article might provide some basic info as well as links to more:
Racine, Wisconsin - Wikipedia, the free encyclopedia
I've never lived there but haven't heard a whole lot of good things about it. Personally, I would never choose to live there. But perhaps some locals will come across this thread and provide some first-hand insight for you. In the meantime, google crime rankings...I have some printouts here that show Racine as being pretty high in that regard (as in, more crime going on) - but unfortunately, I can't recall exactly where I got them.
Good luck with your decision!