If Austin is the San Francisco of Texas (and it is) then Houston is the Chicago.
I've lived in Houston, going on 6 decades. My family has never been robbed or assaulted. My house has never been broken into.
My son's truck was broken into once. His CB and his diesel computer was taken. And the back glass on the expedition was broken once.
During Hurricane Rita we did see looters in the neighborhood. Myself and a neighbor stood watch, for all to see, with our shotguns at the ready.
So, No. I do not think that Houston has sunk to the levels of Chicago.