User blog comment:Captain Dashing/Barbossa... the Hero?/@comment-1984959-20120518131158

Personally, I can't really rule out a Jack/Barbossa rivalry as they can bicker about anything(as evidenced in some OST scenes, let alone the previous films). Also, it turns out that Johnny and Geoffrey love the bickering scenes and finds them fun to play(original source):
 * "Johnny is supposedly the one - while they were developing for the script for this sequel - who insisted that Barbossa play a big part in 'On Stranger Tides' proceedings," Rush explained. "He loves those scenes where Barbossa and Sparrow are going back and forth, bickering like an old married couple. And I have to admit that I find those scenes fun to play too."

But I will admit that ever since seeing the clips of the Spanish fight scene in OST(without a doubt one of my favorite moments of the film), that more "Jack/Barbossa teamwork" scenes must be attempted. It'll be twice the action and twice the comedy. And of course Geoffrey is open to that idea, sayinging that Jack and Barbossa would be "a formidable team" if they were to work together...though believes that because of the fight for the Pearl, it makes that idea almost impossible(original source).