St. John's is the best known football program. No doubt. And you are correct in the sense this 'CCO thing is for St. Thomas football. However, in terms of the "best known MIAC school" that can take on many colors. St. Thomas is perhaps starting to eclipse St. Johns in football (St. Johns has been "down" by their standards for a few years now while St. Thomas has grown their football profile to match the success they already enjoy in other sports). Meanwhile, in terms of athletic programs from top to bottom, St. Thomas and you could argue Gustavus have been more successful than St. Johns for a while now, for 10-15 years or more. Plus, academics always play a bigger role in DIII and especially in the MIAC so it is tough to ignore St. Olaf and others.
St. Thomas has always been an overall power in the MIAC. In the last 5 years they have really begun to pull away from Gustavus in the 'all sports' success. They are crossing from "a power" to "the power" in the conference. Certain UST programs have gone into "sleepy" periods (especially football) over the years but the big enrollment, location, etc. have always been a factor. In recent years they have hit on coaching, and have invested a lot in athletic facilities.