Fleury made 15 saves during a third period that was dominated by the Jets.
"You get Flower as your goaltender, you're going to have chances to win games," Neal said.
After the game was tied 1-1, Vegas got two goals from its second line, which features Erik Haula between Neal and Alex Tuch.
Neal made it 2-1 on a one-timer at 5:40 of the second period, 12 seconds after Scheifele tied the game.
"For us to respond that quickly was really big for us," Golden Knights coach Gerard Gallant said. "In tight hockey games between two pretty evenly-matched teams, it was a big response from us."
Tuch made it 3-1 at 8:13. Neal had the primary assist.
"It was good to get a couple, for sure," Tuch said. "We have a part to do as well and we haven't gotten enough shots as a line, haven't gotten to the net enough. That's a big emphasis here for us. It's good to get on the board and good to get a win as well. Good to get the confidence going for our line."
Scheifele scored twice for the Jets, who are trailing in a series for the first time this postseason. Connor Hellebuyck made 27 saves, but a costly turnover to Haula behind the net led to Neal's goal.
"[Haula] knocked it out of mid-air, he made a good play on it," Hellebuyck said. "I've been doing that all year long. It's unlucky that he knocked that one down. I don't know that he was even looking. He might have just swung his stick at it. But good play on him. I'm going to clean that one up. I haven't given it away too many times this year. So we [have to] put that one behind us."
Scheifele's second goal made it 3-2 when he converted Kyle Connor's feed 18 seconds into the third period.
Schiefele leads the NHL with 14 goals this postseason, matching Joe Pavelski of the San Jose Sharks in 2016. The record is 19, held by Reggie Leach of the Philadelphia Flyers (1976) and Jari Kurri of the Edmonton Oilers (1985).
