Macabre
Your Friend and Mine
Vergil was not concerned with talking. he was the person who first initiated the fight and made the first stance (ie reached for his sword) further more. during the fight Dante is constantly telling Vergil to stop. listen.think. please. but Vergil is having none of it. he just becomes more aggressive and ruthless. if you look at his face when they fight (more obvious in cutscenes during fight) he has this demented, cruel smile. like he takes a dark pleasure from this. so you can see the evil has already taken root inside him.
he loves being in control. he said he learned to hack because it gives him that sense of controlling things. as such he wouldnt have backed down no matter what. its just his nature. like an OCD, you cant talk those things out.
That's another part of the problem though, and it makes NT's Vergil even more incompetent.
This is a man who has founded, maintained and lead an ultra-secretive terrorist network which evaded detection by a GOD and his neigh-omniscient magical army. He has convinced and manipulated countless highly intelligent individuals to act as part of his organisation, when doing so means he has convinced them to risk being horribly killed by reality-warping monsters at the very least. He is self-taught in the means to manipulate Limbo and combat these creatures. This all implies that Vergil is a genius manipulator who makes Arkham look like a burbling invalid.
However, Vergil continously lets on that he is an apathetic sociopath to the two most important people in his organisation, never justifies his actions with anything more than a pithy singular sentance, and ultimately decides to confess his tyrannical motives rather than move towards them subtly.
Hell, he could even have confessed them to Dante while they were alone together rather than with Kat, where she is bound to blind Dante to how sensible Vergil's plan is.
Seriously everyone, Vergil is completely correct. As they are speaking in the final confrontation, millions of people are being eaten alive by demons, mass panicking and rioting are rampant, the entire global economy has been crippled by the world's most powerful bank folding, and every human being is gripped by fear. The world needs a dictator to lead them, and Vergil is the only living being even remotely qualified. It doesn't matter why he's doing it or if Dante suspects he might ultimately turn evil: Humanity needs leadership right goddamned now because, unless you haven't noticed, the heroes just put mankind on the fast route to extinction.
Unless Tameem was trying to make some kind of Spec Ops: The Line style message about turning the game off if you disapprove of your characters actions, because in which case: BRAVO!