I'll try to start doing this for all identified candidates over the next two weeks:
Cuonzo Martin
-Runs a Keady-derived motion offense. It's philosophically pretty much the same from Hank Iba to Eddie Sutton to Keady to Weber/Painter/Cuonzo/et al: lots of screens, cutting, baseline action, perimeter passing. Turn down good shots to get great shots. Emphasis on patience and unselfishness. Cuonzo's guards seem to attack the basket more than Weber's (maybe a little space-it-out, Coach K-style motion influence). Nonetheless, if you have guys with low basketball IQs who aren't great shooters or passers, the motion offense looks like absolute garbage.
It's like free jazz: lots of room for interpretation and improv, works really well with great players, but with a room full of amateurs it's just noise. The ball screen offense run by Groce/Calipari/most NBA teams offers a little more margin for error. With Groce's offense (theoretically), if you have a lead guard that can collapse a defense off the bounce and hit pull-up threes, the offense looks decent. (We've never really had that, so...well, I guess that's why we're here in this thread.) With a Keady motion O, if you don't have five guys moving, screening, cutting, and making crisp passes, it gunks up. Then you lose games 38-33 (or 74-44 like Cal did the other day to Utah).
This year, Cal is #299 in adjusted tempo. They are a slow, methodical team offensively. It isn't generally fun to watch (one of Oizo's questions). We all saw how much fun it can be in 2004-05, but you usually don't have a team full of unselfish, ultra-skilled future pros.
-On defense, Cuonzo runs an aggressive man-to-man scheme with zone principles. This essentially just means that 1) you sink toward the basket when your man is two passes away on the perimeter, 2) everyone collapses on the paint when there's penetration (ready to fan back out - this is largely to prevent easy dump-offs and offensive rebounds), and 3) you communicate and help efficiently. It's pretty normal stuff - similar to Weber and frankly not too different from Groce's base pack-line in terms of philosophy. As far as I know, Cuonzo doesn't ever switch to a pure zone (outside of one specific time where he did it out of desperation at Missouri State and then explained in his post-game interview, "we don't even practice zone defense"). He's a man-to-man purist.
-Cuonzo's calling cards are hustle, defense, and physicality. He's had so-so results playing a grinding Big Ten style in the Pac-12. I think his philosophy would fit better in the B1G. If he ended up here, the one thing I'd feel confident about is consistent effort and hustle.
-From listening to interviews and reading columns, he seems well-liked and is pretty charismatic in an earnest sort of way. Personality-wise, I think he'd do well here. His former players and various people in the basketball community have nice things to say about him.
-My overall opinion is this: I think Cuonzo would do fine here. I don't know that he's a better coach than Groce, frankly, but I think he might have marginally more success recruiting and therefore more success generally. He doesn't blow me away. Doesn't seem like an extraordinary tactician or anything. I'll admit that I have a bias against the methodical version of motion that Cuonzo runs - I think it's boring and frustrating to watch unless you have multiple dynamic playmakers on the floor. That said, I'm not necessarily opposed to his hiring. I'd rather take a shot on Monty Williams or Kevin Keatts, though.