As for Duke, I'm somewhere in between in my opinion of them.
Yes, I do believe a big man can solve their woes. However, success at the top level of college basketball nowadays is about one thing and one thing only, and that's getting the best talent available. You're not going to win anything without the best players. If you take the top 20-25 most physically talented players coming out of high school every year, I doubt more than one or two of them is truly interested in playing for Coach K's system. They want to get out there and do their own thing.