Rush scored 16 points and Robinson had 15 as the top-seeded Jayhawks toyed with Villanova 72-57 Friday night to earn a spot in the Midwest Regional final.
The Jayhawks (34-3) will be a huge favorite to end 10th-seeded Davidson's stay in the NCAA tournament and advance to the Final Four for the first time since 2003.
Davidson star Stephen Curry, though, already has Kansas' attention.
"Curry is unbelievable and he's on a run," Jayhawks center Sasha Kaun said.
Kansas coach Bill Self is in the regional finals for the fifth time - at three schools
- since 2000 and is a win away from no longer being regarded as the best coach without a Final Four on his resume.
"We've knocked on the door a few times," Self said.
Villanova (22-13) had to know the night was doomed when star guard Scottie Reynolds shot an airball and missed another try on the opening possession of the game.
The Wildcats simply could not keep up with Kansas' speed, size and athletic ability at the other end of the court.
Kansas slammed four alley-oop passes in the opening 9 minutes and made seven 3-pointers to take a 41-22 lead at halftime.
"The 3s hurt us early," Villanova coach Jay Wright said. "When a team that good is making those kind of shots, it is going to be tough. I didn't think we were that bad defensively in the first half, they are just a very good team that is playing very well right now."
Rock Chalk, Jayhawk, indeed.
Mario Chalmers added to Kansas' balanced attack with 14 points.
Unlike some NCAA tournament games that are decided in the final moments, this one seemed over soon after it started.
Kansas took control early with a 14-2 run and didn't need to break a sweat to keep its cushion.
Reynolds was scoreless until making a 3-pointer midway through the first half, a shot that started an 11-2 burst that pulled Villanova within seven points with just under 7 minutes left.
Then, Kansas held the Wildcats to only a point and no field goals the rest of the half and opened up a 19-point lead at the break.