A lot of people are unaware of ND's basketball pedigree, including all time wins (ranked 9th in the country after 2014-15) and number of players in the NBA (7th).
http://www.sports-reference.com/cbb/schools/notre-dame/
They have also played in the NCAA Tournament 31 times, good for 9th all time, and reached the Final Four in 1978.
They are also the first Big East team to go undefeated at home two straight seasons
Jeff Sagarin and ESPN listed the program 12th in the college basketball all-time rankings in the ESPN College Basketball Encyclopedia.
Then, there is ND's history of upsets of #1 and/or unbeaten teams, topped by the ending of UCLA's 88 game win streak in 1974:
Upsets of #1's and unbeatens
Date Opponent Score Streak before ND loss
January 23, 1971 #1 UCLA** 89–82 19
January 19, 1974 #1 UCLA** 71–70 88
March 5, 1977 #1 San Francisco 93–82 29
February 26, 1978 #1 Marquette 65–59 5
February 27, 1980 #1 DePaul 76–74 (2OT) 26
December 27, 1980 #1 Kentucky*** 67–61 7
February 22, 1981 #1 Virginia 57–56 28
February 1, 1987 #1 North Carolina 60–58 16
February 8, 2005 #4 Boston College 68–65 20
January 21, 2012 #1 Syracuse 67–58 20
February 6, 2016 #1 North Carolina**** 80–76 0
Mike Brey is currently 331-164 (.669 winning %) at ND after 14 seasons.