They can finally shave the scruff after sealing a milestone moment for Lacob and Peter Guber, who bought the Warriors for an NBA-record $450 million in 2010. The owners overhauled the franchise by hiring Jackson as coach and Bob Myers as general manager, even though neither ever held those titles at any level.
Golden State (45-33) remains a game ahead of Houston (44-34) for the Western Conference's sixth seed. Both teams have four games remaining.
"I told them, 'Don't you dare go to the baggage claim, because this is just a layover. This is not our final destination,'" Jackson said. "Celebrate that we got here, but this is not our final destination."
The emotions heated up in the third quarter when Thompson and Luke Ridnour exchanged light shoves before officials whistled Ridnour for a technical foul for pushing Thompson while the two guards ran down court. Thompson smiled and walked away when Ridnour tried to get in his face.
Curry's ensuing free throws were part of a 19-4 run that helped Golden State go ahead for good. Thompson, Curry and Barnes each hit a 3-pointer during the stretch, capped by Curry's floater that put the Warriors up 78-64 late in the third quarter.
"We got impatient the last 3 minutes of the second quarter and the whole third quarter," Wolves coach Rick Adelman said. "I thought we forced the issue to get them into the open court. They just opened it up."
Barnes finished with 15 points and 10 rebounds to help Golden State take an 88-70 lead early in the fourth, too much for Minnesota's depleted roster to overcome. The Warriors have won six straight over the Timberwolves and 12 of 14 — none bigger than the last to give the home fans what they had long hoped: a playoff appearance, and the hope for more.
"I see security guys high-fiving and smiling," Jackson said. "I see concession-stand workers high-fiving and smiling. I see some media folks high-fiving and smiling. It's been a long time, and I'm just blessed to be a part of it."
NOTES: Jarrett Jack was called for a flagrant-1 foul for clubbing Kirilenko in the head while trying to block a layup in the third quarter. ... Thompson's previous career high was 32 points at Cleveland on Jan. 29. ... Thompson (203) and Stephen Curry (249) are the first teammates to each hit 200-plus 3-pointers since Boston's Antoine Walker and Paul Pierce in the 2001-02 season.