Parker helped the Blue Devils to a 42-28 advantage on the boards, which allowed them to overcome a poor shooting night. Duke outscored Miami 22-7 on second-chance points.
The Blue Devils (15-4, 4-2 Atlantic Coast Conference) avenged a 27-point loss the last time they played in Coral Gables. That was a year ago, when Duke was ranked No. 1.
Duke has won its past two games by a combined 56 points. Coach Mike Krzyzewski earned his 899th win at Duke, which leaves the NCAA men's career leader in victories one shy of joining Syracuse's Jim Boeheim with at least 900 wins at one school.
Defending conference champion Miami (10-8, 2-4) remained winless in three league games at home. The Hurricanes will try to bounce back Saturday, when they play host to No. 2 Syracuse.
A grinning Wade amused the crowd at halftime by taking some shots from half court, including several with his back to the basket. He went 0 for 6.
The home team didn't fare much better.
A methodical pace should have been to Miami's liking, but while Duke made only 8 of 25 3-pointers, the offensively challenged Hurricanes were even worse. They went 2 for 10 from behind the arc and shot 35 percent overall.
Miami stayed close for most of the first half, in part because Duke missed nine consecutive 3-point shots. But the Blue Devils forced three turnovers during an 11-0 run near the end of the half, and they led 33-21 at halftime.
Duke then scored the first six points of the second half to take command. When Miami cut the margin to 47-35, Parker converted a three-point play and Rasheed Sulaimon sank a 3-pointer to restore Duke's comfortable cushion.
A dunk by Hood with 3½ minutes left gave the Blue Devils their first 20-point lead. At that point, James — and many other spectators — headed for the exits.
The Blue Devils stayed in the lead early by hitting the boards hard. Of their first 17 points, 14 came following offensive rebounds.