Kansas City Road Trip - Suggestions for 'cue or Mex?

Hi...just stumbled onto these boards from some searches on Yahoo! and this looks right up my alley!
Anyway...I'm from Omaha and planning on going to KC for a few days in August and was looking for any suggestions for the 'not-to-be-missed' loci. I'm mostly just interested in BBQ and possibly Mexican.
Only interested in authentic Mexican though, no cheddar cheese drowned combo plates...I'm looking for chilaquiles, mole, pozole, and the real-deal dishes.

As for BBQ, from my research I've been leaning towards LC's, Fiorella's, Bryant's, or Oklahoma Joe's.

Love to hear any comments, suggestions, or specific dish recommendations...thanks for your time...John