Defenceman Kevin Pochuk also scored for the Rebels (6-7-2), while Patrik Bartosak made 30 saves in net.
Collin Shirley and Jaedon Descheneau each scored for the Ice (4-7-0), and Wyatt Hoflin stopped 28 shots.
Kootenay opened the scoring 7:43 into the first period when Shirley put a rebound from Descheneau past Bartosak for the early lead.
Descheneau made it 2-0 just over two minutes into the second with a long wrist shot that found its way to the far low corner.
But Red Deer's rally started just 1:46 later when Pochuk jumped on a loose puck in the slot and fired a slap shot past Hoflin.
Inglis tied the game in the second on the power play as the Rebels caught Kootenay on a line change. That gave Red Deer a 5-on-2 breakaway with Inglis scoring on a rebound.
Then in the third, Inglis added the decisive goal on another power-play rebound to put the Rebels ahead for good.