Even Oregon's defense got into the act, intercepting Klein twice and holding him to 30 yards on 13 carries.
"We got beat by a better team tonight, combined by the fact that we let down from time to time," coach Bill Snyder said after Kansas State's fifth straight bowl loss.
Whether Kelly leaves Eugene or not, he had a good run, leading the Ducks to four straight trips to BCS bowls, the last two wins.
Ducks fans sure let him know how they felt, chanting "We want Chip!" just before he was handed the massive Fiesta Bowl trophy.
"Our focus was on this game tonight," Kelly said. "If for some reason, someone wanted to talk to me, it's because of those players over there. We have an unbelievable team, an unbelievable program and any success is because of those guys."
The 2013 version was an upgrade: Nos. 4 and 5 in the BCS, two of the nation's best offenses, dynamic players and superbly successful coaches on both sides.
Oregon has become the standard for go-go-go football under Kelly, its fleet of Ducks making those shiny helmets — green like Christmas tree bulbs for the Fiesta Bowl — and flashy uniforms blur across the grassy landscape.
Their backfield of Thomas, Barner and Mariota made up a three-headed monster of momentum, each one capable of turning a single play into a scoring drive of 60 seconds or less.
Mariota has been the show-running leader, a question mark before the season who ably ran Oregon's high-octane offense as the first freshman quarterback to start for the Ducks since Danny O'Neil in 1991.
Oregon won the Rose Bowl for the first time in 95 years last season and was in position for a spot in the BCS title game this year before losing a heartbreaker to Stanford on Nov. 17.