The 44-year Sutherland had a 14-under 196 total on Grayhawk's Raptor Course. McNeill followed his second-round 63 with 66.
"I've played terrific all year," said Sutherland, who is 32nd on the money list with more than $2 million. "This is my last tournament of the year, so it'd be great to cap it off with a win.
"I came here just to play and have fun and I plan to do that," Sutherland said.
Paul Goydos (66), John Mallinger (66) and Steve Allan (68) are two shots off the lead.
Richard Johnson, the former Augusta State golfer who was one shot off the lead after an opening 64, dropped out of contention with 72 on Saturday. Johnson is tied for 62nd place, 11 shots off the lead. A PGA Tour rookie, Johnson is 195th on the money list with two more tournaments after this one. Only the top 125 keep their playing cards.
CHAMPIONS TOUR: In San Antonio, tour rookie Larry Mize shot 4-under-par 67 and is four shots off the lead in the AT&T Championship at Oak Hills Country Club.
The Augusta native, who is playing in his fourth Champions Tour event since turning 50, is at 7-under 135.
Jeff Sluman, with 64, is at 131 and has a one shot lead over John Cook (63) and first-round leader Mark James (69).
Sluman, 51, is seeking his third victory of the season.
Augusta native Jim Dent had 76 and is at 148. Allen Doyle, the former Augusta resident, withdrew after his first-round 70.
LPGA TOUR: In Haikou, China, Karen Stupples holed out a 35-foot chip on her final hole for a two-shot lead in the Grand China Air.
The closing birdie gave Stupples 5-under-par 67 and the lead over Laura Diaz, who struggled to 73 after opening with 63.
Stupples and Diaz, who have become mothers in the past few years, will be looking for their first victories in a long time. Stupples last won in 2004 and Diaz in 2002.
Stupples' chip-in came after bogeys on 15 and 17.
Annika Sorenstam shot 70 and is eight shots off the lead.
EUROPEAN TOUR: In Castellon, Spain, Sergio Garcia closed in on his first European Tour victory in three years, shooting 5-under-par 66 at his home course to lead by four strokes after the third round of the Castello Masters.
The Spaniard has totaled 16-under 197 at Club de Campo Mediterraneo, where he grew up playing golf and where his father, Victor, is the club pro.
"I'm very motivated to win this tournament for a lot of reasons -- it's the European circuit, it's in Spain, on my course," said Garcia, who is playing with a sore elbow.
In a group tied for second are David Lynn (68) and Simon Dyson (68), Peter Hedblom (68), and first-round leader Soren Kjeldsen (70).
NATIONWIDE TOUR: In Miami, D.A. Points, who was tied for 43rd place after two rounds, vaulted into a tie for first place in the Miccosukee Championship after shooting 9-under-par 62.
Points, who opened with rounds of 73-70, is at 8-under 205. He's joined there by Matt Bettencourt, who shot 66 on Saturday.
Gavin Coles (68), second-round leader Marc Leishman (70) and Josh Broadway (69) are tied for third place at 206.