Fowler scored a power-play goal with a wrist shot through traffic to give Anaheim a 1-0 lead at 18:40 of the first period.
"This group has really come together in that sense that we know when we play good or bad," Edmonton defenseman Mattias Ekholm said. "Nobody in here felt like we were even close to our potential in the first [period]. When that feeling hits, there's usually a response from this group, and we've done that a lot lately and nothing different tonight. I thought we came out a lot harder in the second and set the tone."
Kane tied it 1-1 at 9:11 of the second with a wrist shot from the bottom of the right circle after Edmonton forward Corey Perry slashed the stick out of Gibson’s hands behind the net.
Strome restored the Anaheim lead 29 seconds later, taking a no-look pass from Carlsson and deking past the left pad of Pickard to make it 2-1 at 9:40.
"Obviously nice to get on the score sheet, but frustrating game," Strome said. "We deserved a little better fate. I thought we worked really hard, we did a lot of really good things."
Kane made it 2-2 at 12:51 with a wrist shot through the five-hole from the slot off a drop pass by Draisaitl.
"As the game went on, we built up our game," Oilers coach Kris Knoblauch said. "Definitely, the second period was our best, but we had some breakdowns and we were under pressure."
Strome’s power-play wrist shot from the bottom of the left circle gave the Ducks a 3-2 lead at 3:20 of the third period.
"Hockey's a funny game," Strome said. "You get a little confidence and the net looks a little bit bigger."
NOTES: Kane's fifth hat trick with Edmonton tied Ryan Smyth and Esa Tikkanen for the seventh-most in franchise history. ... McDavid extended his point streak to five games (11 points; five goals, six assists). He also has a 12-game point streak against the Ducks (nine goals, 20 assists). ... Edmonton has won six straight against Anaheim and is 9-1-1 in the past 11, outscoring the Ducks 60-27. ... The Oilers have scored 20 goals in three wins against the Ducks this season. ... Anaheim forward Adam Henrique had two assists to increase his point streak to seven games (11 points; four goals, seven assists). ... Ducks center Mason McTavish did not play because of an upper-body injury. … Anaheim forward Max Jones returned after missing 12 games with an upper-body injury and had four hits in 12:50 of ice time.