Bachman turned aside all 12 shots he saw in the first period as the Stars were getting goals from Alex Chiasson and Eric Nystrom to establish a lead they wouldn't relinquish.
With its fifth straight victory, Dallas improved to 45 points and moved ahead of the Detroit Red Wings and Columbus Blue Jackets for the eighth and final Western Conference playoff spot thanks to a tiebreaker.
Both teams have seven games left on the schedule.
Ohio bar shooting arrested, charged with murder
Attkisson leaves CBS News, reportedly over network's 'liberal bias'