I'm going to play Devils Advocate here for a minute.......
It was suggested to me recently, that Karate - or at least most schools - were held in somewhat less than high esteem by certain MMA and BJJ stylists. I can only assume that this view would be held because of karates rather regimented format, or lack of ground-fighting techniques ( Goju - and other chinese influenced styles - apart possibly? )
It was also said that MMA schools have taken a little bit from here, and a little bit from there, to create a fighting style that works and evolves, rather than one that has remained pretty much unchanged for decades. I'm not going to disagree with this though - I think its a fair point.
Certain styles come and go over the years, Kung-Fu, Karate and Brazilian Ju-Jitsu have all had their moment in the Martial-Arts spotlight, now it seems that its the turn of Mixed Martial-Arts and Cage-Fighting.
My point is this.... Do - or should - the two schools mix? Is it possible to successfully train in one style whilst drawing on the abilities gained in another?