I doubt that IU has a much larger fanbase than a school that has been preeminent college basketball program, nationally, for more than 2 decades but there's no data to support either argument so I'll leave it at that. It also is irrelevant to what I said was laughable.
You said Duke "has worse facilities" than IU. This is laughable. Sure Assembly Hall has a greater capacity than Cameron Indoor Stadium. I don't think you'll find one impartial observer who would tell you it is better. I personally thought they were both horrible places to watch a game but that is neither here nor there. IU absolutely does have a fantastic practice facility. Cook Hall is immaculate. But you mention that as if Duke is practicing in a field with an oblong hoop mounted to the side of a barn. Do you remember when Krzyzewski "flirted" with taking the Lakers job a few years ago? Well, it was thought that it was really just a ruse to get both a raise and make sure a new basketball practice facility was constructed. Well they built it. And I'm sure, in the immortal words of John Hammond, they spared no expense. IU's facilities are state of the art but that doesn't automatically make them better than Duke (or Kentucky, Kansas, Ohio State, Florida, etc.)
The fact that Indiana produces wonderful basketball talent is great for IU. But recruiting is a national game. Kids are coming from all over to go to Duke. And Indiana. Nobody in their right mind would think that Duke is going to be tougher to recruit to than Indiana.
You also said IU has a more complete basketball program than Duke. I don't really know what that means but I don't think anybody outside of southern Indiana would agree with it.