The Suns kept their own finals hopes alive - they need to win their remaining four games to make the top eight - and interrupted the Lions' hopes of jumping Port Adelaide into second place with a 15.6 (96) to 7.13 (55) pummelling in Carrara on Saturday.
Miller (29 disposals) went old-school with a hard tag to run Lachie Neale (17 touches) into the ground, while under-fire forward Ben King was back to his best with an equal career-best five goals.
Brisbane trailed by 17 at the final break and scored just seven points in the fourth term as the Suns out-tackled and out-ran the premiership hopefuls.
It broke a nine-game Lions QClash winning streak and cost Chris Fagan's men the chance of finishing the round in all-important second place.
Sam Flanders (32 disposals) had another big night and Noah Anderson (29 touches, one goal) was a chief destroyer for interim coach Steven King, who leant on his horror author namesake to script a nightmare for his opposite number.
Miller blanketed the Lions' Brownlow Medallist in the first quarter, restricting Neale to just two disposals and ensuring some heated contested work from both sides.
Delivery was of the finest order to King, who broke a month-long goal drought and had three at the main break.
That, and snapped goals from Brandon Ellis and Darcy McPherson, saw the Suns build a 10-point lead.
Brisbane had two good minutes and that was enough to create two chances for Hipwood, who booted a goal then hit the post to make it a three-point game at the break.
The Suns kept coming though, King's fourth and fifth swelling the lead to as much as 26 points.
Anderson remained heavily involved, spinning out of a tackle to find Levi Casboult for a goal assist and swooping at a stoppage to kick his own.
The Lions won back some territory and Cameron, like Hipwood a quarter earlier, split his efforts 1.1 to leave the Suns ahead by 17 at the final break.
Josh Dunkley had 30 touches and 10 tackles but Brisbane had no answer in the final quarter, Matt Rowell winning a forward clearance, shrugging a tackle and snapping a terrific goal.
Victory kept the Suns' mathematical hopes of a maiden finals appearance alive a month after sacking head coach Stuart Dew.
To feature for the first time they'll need to beat Adelaide, Sydney, Carlton and North Melbourne to finish the regular season.
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