Minnesota has a better program historically than most of the programs you mentioned (Virginia probably being the exception). I would also disagree with your comment that the arrow is pointing up for the Gopher program. If you look at talent in compared to talent out, the arrow is pointing down for the Gophers. That's not to say things can't turn around, but I think you will see the Gophers predicted to finish lower in the Big Ten in year six of Tubby's tenure than they have been since year one of his tenure.
You are probably correct about Auburn and Texas Tech. Not the others. Since the NCAA Tourney began in 1939:
MN: 11 NCAA Tourney Appearances (3 since 2000), 4 S16, 1 F4, 3 Conference Championships
NC State: 22 Tourney (5 since 2000), 10 S16, 3 F4, 16 CC
Georgia Tech: 16 Tourney (5 since 2000), 7 S16, 2 F4, 6 CC
Virginia: 16 Tourney (2 since 2000), 7 S16, 2 F4, 5 CC
St. John's: 28 Tourney (3 since 2000), 6 E8, 2 F4, 6 CC
Iowa: 22 Tourney (3 since 2000), 7 S16, 3 F4, 8 CC
Of the six listed, we have less tourney appearances, less Sweet 16's, less Final Fours, and less conference championships.
St. John's is 9th in all-time winning percentage by the way. NC State is 30th.
We do seem to have a lot of alumni who have made it to the NBA however.