Bad feeling between the two reached a peak in our relegation season when Shearer was the boss for the last eight games.
Barton made an over-the-top challenge in the Liverpool fixture and the GOALden Boy (allegedly) pinned Barton against the wall in the dressing room afterwards.
Barton has an obsession with Twitter (hiding behind his computer) ... but I know who I would back if ever he "went round the back to sort it out" with the Newcastle legend.
Keith Gillespie tried it once, and ended up face down in the gutter.
The controversial midfielder has reiterated that he did not deserve to be dismissed and revealed he tried to get a City player sent off as well.
Barton saw red for elbowing Carlos Tevez and then kneed Sergio Aguero, an incident which sparked a mass confrontation.
During the melee, Barton also aimed a headbutt at City captain Vincent Kompany and exchanged heated words with substitute Mario Balotelli.
He was eventually restrained by a group of players and hauled down the tunnel by former team-mate Micah Richards and Rangers staff.
Joey Barton (wrote on Twitter): "Can do nothing but apologise to the players and the fans. Still don't think its a sending off. Tried to take 1 of their players with me....
"The head was never gone at any stage, once I'd been sent off, one of our players suggested I should try to take 1 of theirs with me...
"Shearers still on my case...
"I know I f**ked up Alan, thanks for stating the obvious.
"I have a better hair(which is not hard), wear well better shirts on TV and have a personality (something u lack). I really don't like that p***k, in fact I honestly despise him...
"I'd take it off Hansen and @GaryLineker but not from that bell, same fella that stamped on Neil Lennon,then threatened FA if they banned him. That he would retire from international football. No sorry, not having him, never have. Selfish, boring man him. He can do one..."
Barton will serve an automatic four-match ban and he seems certain to face additional sanctions from the Football Association for his subsequent attacks which, with the add-ons for previous dismissals, could see him start next season with a nine-match suspension.