Here is some alternate advice I might suggest:
1) DONT kill the scouts first. This may sound odd but when all's said and done scouts dont knock stealth down THAT easily and you have a pretty good chance of failing YOUR stealth rolls and wasting your fire on them.
2) Use the first few turns firing to hit his nastiest most heavily armed ships. Prioty targets are things like Sullusts and prefects that have loads of firepower but less hull than Primuses and co.
3) shoot to cripple not to kill at first. In terms of raw firepower the centauri WILL outgun you but if you take dont waste neutron lasers shots on a ship you are unlikely to kill if youve already got a nice no weapons crit or something. Aim to reduce his fighting capabilities as fast as possible.
4) Get to 18" range and stay there. He may outrange your main weapons but Minbari ships nearly always outrange everyone elses secondaries and that makes a BIG difference
5) Nials ftw. Take a Morshin or a Sharlin (or both if you can!) Nials are not worth buying by wings but are still just about the best fighter in the game (WS fighters dont count as they are silly....) A morshin will also increase your initiative bonus EVEN MORE

Take out his fighters as quickly as possible. Then use your fighters to harass damaged ships. Dont bother trying to gank a priums or something it wont work very well but 4 or 5 Nials can really make a mess of a Sullust given a chance. And god help any Vorchan that gets in their way.... Against Centauri I might even swap the Nials for Tishats, you want them to kill his fighters more than anything else and Tishats are quite simply sick and wrong in dogfights
6) Use hyperspace if you can. If you get the chance, jump in behind him. Dont worry about trying to jump point bomb just keep as many of your big nasty ships out of his forward arc of HIS big ships as you can.
7) Use terrain. A simple point but so many people just ignore the terrain rules and play on empty battlefields that its silly. Terrain can have a HUGE impact on a game and can really even the odds for some of the more manueverable fleets (of which Minbari ARE one)
8) Lastly and most importantly: Stealth is unreliable. It always was, now its just unrliable with the balance tipped slightly in the other sides favour. The answer? Dont rely on it, use your other advantages in maneuver, fighter abilities and superior weapons tech to dominate. The minute you leave your opponent a shot you could avoid because 'he can only hit me on a 6+ at this range' is the moment you lose the game.