My two cents:
Iowa's rebounding problems start with a lack of conscious effort to seal the backside and find the nearest body elsewhere. In the first few games, when players anticipate a shot they just kind of turn and fall in towards the rim, but don't do much to create or maintain space. This isn't hard to address, and based on FM's tirades about the poor rebounding during the Southern game, I would guess they have spent some practice time addressing it.
Probably the most common factor that is used to explain Iowa's poor defense is lack of athleticism. I'm not sure this is the case. First, Iowa gives too much freedom of movement without redirecting cutters. For years, MSU and Wisconsin have done this, getting called for one or two fouls a half, and literally knocking the opponent out of their rhythm. The fouls are an investment; you will usually pick up fewer fouls overall because your opponent isn't getting the ball in good scoring position. Plus the officials become acclimated to this physical style of play and tend to swallow their whistle, as anyone who has watched Izzo's teams for the past 20+ years knows. Iowa is deep enough to play this way and risking a few extra fouls without seeing a major drop off in offensive production. Bench/role players ESPECIALLY need to understand this and play their role effectively.
The other thing that Iowa does is give the ball too much space. The most obvious result is less closely contested perimeter shots. But it also allows clearer passing lanes to cutters and skip passes and cleaner ball reversal. And, counterintuitively, it does little to nothing in preventing dribble penetration. When the defender is up tight on the ball, the player with the ball doesn't have a downhill angle to the basket; his first dribble and step will be lateral because the defender is occupying the downhill space. When the defender is off, then one downhill dribble in one direction forces the defender to slide and create downhill space for a crossover dribble attacking the rim. Now the ball is in the middle of the defense forcing Iowa into help, rotate, and scramble mode. You're risking less than you think by tightening up and getting into the offensive player's space.
I do think that switching up the defense frequently is very effective at keeping an offense out of rhythm, and it vastly reduces the ability of the opposing team to make in-game offensive adjustments. The one thing that I would like to see Iowa do here is when they're playing zone, jump to man when the shot clock gets to 6-8 seconds. You risk giving up a mismatch, but again, it disrupts the rhythm of the possession. You're less likely to see a good screen-and-roll play, less likely to allow a backdoor cut, and more likely to get a body on each man when the low percentage shot goes up so that you don't allow a new possession.