I attended Notre Dame, but I grew up as a UConn fan and had the pleasure of cheering on Tony Hanson for one year and Jim Abromaitis for 3 while in high school. I remember the Yankee Conference.
I like Matrims list, although I would probably drop UConn down a tad to the pack, mostly due to longevity. The Huskies were not a national team until about 1990, and their real success only spans 15-16 years. Thay have 4 titles, but those are also their only Final Fours. Teams like Louisville and Indiana have had many more Final Four appearances (and in Indiana's case, titles) dating back to the 40s, Duke had at least 3 I can think of in the mid 60s and one in 1978

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IMO, 16 years is not really enough time be called a top 5 all-time program. However, I can assure you fans of college basketball (as opposed to those who merely fans of one school) do have great respect for the current Husky program.