Psy op implies an amount of planning and the involvement of the military or the intelligence community. I think it is better attributed to chance that the cryptic pretentious musings of one person snowballed into a cultish internet movement. Because it garnered strength online, the musing person at the heart of it probably changed due to tiny power struggles.
People like to know there is a plan for everything. People always suspect a secret cabal behind everything. People are also dumb and impressionable. It doesn't take a general or CIA buffin to try to target the Venn diagram of those three groups. I think it had the results you describe, it contributed to what we see in the US today: a weakening of the rule of law and a slide into fascism.
Calling QAnon psy op is giving what basically started as a 4chan meme too much credit. If no one took a gun to find a nonexistent basement in a DC pizza restaurant, society at large may have never discovered this snowballed cult, and jumped on it like a cat does catnip, enlarging its reach. The secret "cabal" behind it is maybe a handful of people. Bored and slightly Machiavellian internet users with odd political views and/or the love of endorphin-inducing likes and reach. Never attribute to conspiracy what you can more likely attribute to stupidity. QAnon is stupid. Stupidity with disastrous cobsequences. But not a planned psy op campaign.
What's wrong with these people? The rabbi had time to sink to the floor, the priest is clearly passed out on the floor, why is the pastor still walking into the bar? Are they all blind and deaf?
The deeper message must be that just out of shot an imam and a Buddhist monk are looking at each other puzzled exchanging remarks like "They really cannot learn from each other, can they."
(I do get the bar joke, internet. No need to well actually me. This was very much tongue in cheek.)