McIlroy finished with a 2-under 68 and is in eighth place after the third round.
Kingston started with a double bogey on the first hole, then made six birdies the rest of the way for a 10-under total of 200.
David Lynn of England was a shot back in third after a 68.
Paul McGinley of Ireland put himself in contention for his first title since 2005 with a 64, matching the best round of the day. McGinley joined second-round leader Simon Dyson, Niclas Fasth and Alexandre Kaleka in a tie for fourth at 8 under.
Graeme McDowell and Lee Westwood both weighed in on Rory McIlroy's decision to leave Horizon Sports Management. Read More
More original content than any other website. Check out Golf Channel's top video & photos.
- McDowell wins Volvo World Match Play | Results
- Bae wins Byron Nelson | At a glance | Scores
- Johnson edges Korda, Phatlum in Mobile | Scores
- Venturi dies at 82 | Twitter reaction | Photos
- What We Learned: McDowell proves matchless
- Arnie, Jack recall Venturi | Nelson connection
- Week in review: Top Photos, Quotes of the Week
- McDowell: McIlroy, Horizon split 'fairly amicable'
- Cancer can't keep Auburn women out of NCAAs
- Uihlein gets first win at Madeira Islands | Scores
- Open qualifying: Men's local | Women's sectional
- Instruction: Don't let anxiety ruin your bunker play