Short (89) enjoyed a wonderful return from a quad injury, while Carey (67) made a seamless transition to the shortest form after playing in Australia's recent 4-0 Test success against England.
The pair combined for 145 for the first wicket - the second best partnership in Strikers history - on Friday night as the Hurricanes bowlers were put to the sword for the second time in three days, following Wednesday's record-breaking mauling by the Melbourne Stars.
Hobart's attack looked considerably stronger with the inclusion of Ashes hero Scott Boland and fellow speedsters Riley Meredith and Tom Rogers, but the 'Canes let themselves down repeatedly with shoddy fielding.
Rogers dropped a sitter when Short was on 15, while Carey was reprieved twice more in his elegant knock.
Short took a back seat to Carey before taking control.
On 57, he was awarded a six when he slog-swept D'Arcy Short's googly over long-on where Caleb Jewell leapt for an athletic one-handed catch but his outstretched right hand touched the boundary cushion.
Short thumped six sixes in his 48-ball whirlwind before top-edging Wil Parker to keeper Ben McDermott.
The Strikers looked on track for well in excess of 200 before the Hurricanes fought back late, through Meredith (2-37) and Rogers (2-37).
Ashes hero Travis Head, in-form Ian Cockbain, Matt Renshaw and Thomas Kelly all holed out in single digits as the Strikers lost 6-39 to give the Hurricanes some momentum at the half-way stage.
