Warren Gatland's side responded to Garth April's opener by running in seven tries from as many players, one of which saw Lachlan Boshier run the length of the field while team-mate Tyler Ardron was in the bin for repeated infringements.
McKenzie put in a strong showing for the Chiefs scoring 11 points, including a try and was credited with a try assist as the Chiefs romped a spirited Sunwolves effort.
The Sunwolves looked lively at stages but will roe their errors that the Chiefs pounced on and punished. Garth April got the hosts off to a good start but the Chiefs replied with four tries from Alaimalo, Stevenson, Weber and McKenzie.
Jaba Bregvadze got one back to make it 12-24 at half time. Boshier scored a runaway try early in the second half with Nakano replying with 10 minutes to go before the Chiefs scored two late tries to seal a 17-43 victory with Quinn Tupaea and Kaleb Trask finishing on a high.