This place is legit. A native Kansas Citian is telling you this, so trust me!
I moved to Wisconsin in 2009, and needless to say, it's difficult to find Kansas City-style barbeque around here. I only know of one restaurant that touts itself as "KC-style," located in Waunakee, but it falls short on several levels.
Dickey's is a fast-casual, quick-eat sort of place, and it surprisingly serves tasty KC-style BBQ! The smoked turkey is just wonderful. I also really enjoy all of the side dishes and like the mac & cheese the most. Beware of the green beans, though: they are a very salty side dish.
At Dickey's, you also get free ice cream. That's just 5 stars by itself.
You're not going to find KC Gates/Zardas-quality BBQ at Dickey's, but you'll get pretty close.