The Stars captain picked up the wickets of Caleb Jewell, Tim David and Sam Hain as the Hurricanes were held to a modest total on Thursday night.
Pakistan pacer Haris Rauf chipped in with three scalps late in the innings as the Hurricanes were bowled out with two balls remaining after a bright start.
Mac Wright set the pace early for the Hurricanes until mistiming a waist-high full toss off Usama Mir to Marcus Stoinis diving low at deep midwicket.
The Hurricanes' No.3 took his time to leave the field as the third umpire checked the height of the delivery, but finally confirmed Wright's dismissal for 33 off 19 balls.
Jewell maintained the momentum for the Hurricanes and smashed three consecutive boundaries off Beau Webster in the ninth over.
The Hobart opener sent a scare through the Stars' camp with a sharp straight drive off Maxwell that left the Australia international needing attention after getting a hand to the ball to prevent a certain boundary.
The offspinner responded with the next delivery, darting a straight ball into Jewell's pads to trap him lbw for 45 off 37 balls.
Maxwell had the Hurricanes on the ropes three balls later after dismissing the dangerous David lbw for one.
Nikhil Chaudhary looked set to rescue the hosts with positive play as he took 10 runs off two balls from Rauf.
But the Stars quick responded when taking pace off the ball. Chaudhary swung hard again, but he was caught in the deep for 32 off 16 balls.
Both teams named an unchanged XI after breaking through for their first wins of the BBL season, as the two teams look to climb up to fourth spot with a win at Blundstone Arena.
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