Crosby, who won gold with Babcock at the past two Olympics, has never been better in a best-on-best international tournament than he was in the World Cup.
He finished with a tournament-best 10 points on three goals and seven assists. Team Canada scored 24 goals, which means Crosby was involved in 41.7 percent of its scoring.
Crosby had three assists in the two-game final against Team Europe. He had two in a 3-1 win in the Game 1 and one on Patrice Bergeron's game-tying goal with 2:53 left Thursday.
Brad Marchand and Bergeron, Crosby's linemates, finished second and third in scoring. Marchand had eight points, including a tournament-best five goals, capped by his shorthanded winner with 43.1 seconds left Thursday. Bergeron had seven points, including four goals.
"[Crosby] does it right," Babcock said. "He works hard. He doesn't complain. If he gets 15 minutes (of ice time), he doesn't say a word. If he gets 20 minutes, he doesn't say a word. If he misses three shifts in a row, he doesn't say a word. If the penalty kill is out there and he's not playing -- whatever he's gotta do -- and then in the biggest moments he turns it up.
"When you look at guys like him and [Bergeron] and obviously [Jonathan Toews], in the biggest moments, they're better. They can't help themselves. They're addicted to winning and they just make it happen."
Crosby made it happen in a big way Thursday. He turned it up.
Team Canada was pressing for the tying goal, but room was sparse and Team Europe wasn't sitting back. Crosby appeared to elevate his game early in the third period, and Marchand and Bergeron followed. Eventually, the rest of Team Canada caught on.
It outshot Team Europe 13-6 in the third period after getting outshot 27-21 through two periods.
"They took over in the third," Babcock said of Crosby's line. "[They] absolutely dominated the third, of course, and got the rink tilted a little bit so we were able to come back and get a win."