Dobson tied it 1-1 at 11:00 with a one-timer from the right circle following a strong forecheck below the goal line by Cal Clutterbuck and Casey Cizikas.
Wahlstrom gave the Islanders a 2-1 lead with a power-play goal at 8:34 of the second period. He took a pass from Engvall, cut inside on Dakota Mermis in the left circle, and scored glove side.
Lettieri tied it 2-2 at 12:03 with a wrist shot from the point through a screen.
"I think at times we are and then I think at times we get away from it," Islanders coach Lane Lambert said when asked if his team is playing to its identity. "So, that's where the inconsistencies come in and a little bit of the defensive zone time. ... But the consistency of the identity has not been there for me. Not yet.
"It's certainly something we have to address. You know, it hasn't necessarily been a big issue up until now, but you know, everybody has to look in the mirror and we stick together. We win as a team, we lose as a team, and we move forward as a team."
NOTES: Fleury's win was his 547th in the NHL. He is four away from tying Patrick Roy for second in League history. ... Wild forward Matt Boldy had an assist, his fourth in three games since returning from an upper-body injury that caused him to miss seven games. ... The Islanders have been outscored 7-2 in the third period in their past four games.