Redick missed a long 3 and James found an open Chalmers for another 3 that gave the Heat a 75-67 lead with 8:27 left.
Chris Bosh scored 23 points for Miami, which beat San Antonio on Sunday without James, Wade and Chalmers, but managed only 32 second-half points against the Knicks.
Much of the star power was taken out of the equation more than eight hours before game time, when the Heat announced that James, Wade and Chalmers would not play.
Woods, who had a share of top spot after an opening six-under 66, produced an unspectacular but effective round of 68 to move to 10-under overall, three clear of Australia's James Nitties and Greg Chalmers and compatriot Jason Dufner, who was the best of the early tee-offs with a 67.
It was the third time he scored 50 in his career, and it came with Miami's LeBron James, Dwyane Wade and Mario Chalmers all sidelined by injuries.
Chris Bosh scored 23 points for Miami, which played without LeBron James, Dwyane Wade and Mario Chalmers, all held out with injuries that are not believed to be serious.
James has a sore hamstring, and Wade and Chalmers are dealing with ankle sprains.
The Heat were expected to keep the same starting lineup from the Spurs game, with Rashard Lewis starting for James, Mike Miller for Wade and Norris Cole for Chalmers.
Ever since James signed with Miami before the start of last season, Chalmers has been getting the full treatment.
Chalmers also injured his ankle in that game, and the Heat said James' hamstring tightness started early in Miami's win at New Orleans on Friday.
James made his first seven shots, one of them a dunk off a bounce pass by Chalmers to give Miami a 46-31 lead midway through the second quarter.
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