I totally agree, experience is everything for these types of programs and obviously the other components to your applications (Recs Personal statements, etc) play a good size role as well.
Something else to really think about when applying to MHA programs that I took into account when applying to schools...
MHA programs with business schools (i.e. Northwestern's) or a medical center (Rush University) will give you you a different perspective than a program attached to an SPH school. If you want to have more of a public health influence with your degree I recommend looking for programs that are part of Public Health Schools.
I haven't heard back from UIC yet, I'm thinking about going with GW though. I'm from Chicago and currently work right around the campus, I could go for a change.