The tifo was displayed as the Bhoys entered the field just before kick-off with a famous McGregor quote, which read: "We're not here to take part, we're here to take over."
Martial arts mania has been sweeping the world of late, with UFC star McGregor set to fight boxing legend Floyd Mayweather in Las Vegas on August 26.
The Scots lived up to McGregor's message as they had no trouble sweeping aside their minnow opponents by a five-goal margin with Scott Sinclair grabbing a brace.
It's the second successive year Celtic have met Astana in the UCL preliminary stages - having knocked them out in the third qualifying round last season.
The return leg of the tie will be played in Astana on Tuesday with the Kazakh's needing a miracle to overturn the deficit.