Wilson, who has scored in five consecutive games (six goals), received a five-minute match penalty for a check to Brett Seney's head with 2:21 remaining in the second period.
"It was more kind of [the] back of my shoulder," Seney said. "I don't know if he was intending to do it or what. I haven't had the chance to look at it yet."
Capitals coach Todd Reirden disagreed with the call.
"He is following his defenseman down the wall, the player backs into him, he tries to get out of the way of the player, makes himself as small as possible, and there's incidental contact," Reirden said.
Wilson was not made available to the media.
New Jersey didn't score on the five-minute power play.
"Obviously, when you have a five-minute (power play) there, you know it's important to get some momentum off that," Devils defenseman Andy Greene said.
New Jersey went 0-for-5 on the power play and is 1-for-28 in its past 12 games.
Johansson pulled the Devils within 4-3 with 1:50 remaining in the third period, but Ovechkin scored into an empty net 20 seconds later to make it 5-3 and Backstrom did the same with 22 seconds remaining for the 6-3 final.
Ovechkin passed Joe Sakic and Jarome Iginla for sole possession of 15th place on the NHL goals list with 626.