Benn redirected a centering pass from Radulov at 1:58 of the third period to give the Stars a 1-0 lead.
Zucker tied the game 1-1 at 17:57 on a rebound after Bishop made an initial pad save against Mikael Granlund.
"We've got to be able to replicate it and keep that going and do it earlier in games and not wait till the 58th minute," Zucker said. "But again, sometimes that's the way it goes."
Each team had 2-on-1 opportunities during the overtime, but each hit the goal post.
Radulov then won it when he beat Dubnyk from the right circle after a cross-ice feed from John Klingberg at 4:50 of overtime.
"I think overall it was a close game," Radulov said. "They play pretty solid. Both goalies played unbelievable today and we had some chances at the end.
"Then, there was two posts (in overtime), them then us, and it was kind of going back and forth. It was good to get that one extra point today."