Cincinnati is off to an 8-0 start this season, its best opening to a campaign in 13 years.
Kilpatrick scored 18 points and took part in a crushing defensive effort. Cincinnati recorded a stunning 23 steals and forced 32 turnovers overall.
JaQuon Parker added 14 points for the Bearcats and Cheikh Mbodj had 12.
Arkansas-Little Rock (7-4) had won three in a row. Will Neighbour, James White and Ben Dillard all scored 10 points for the Trojans.
Cincinnati is one of 18 unbeaten teams remaining in major college basketball. No. 4 Syracuse was the only other one of those teams in action on Thursday and the Orange also recorded a lopsided victory.