I have walked the earth, always searching for that which will make me whole. High in the mountains of Killaronn, deep within Mount Arreat lies that thing. I shall have it. My brothers will not have died in vain...and I shall rule unchallenged!
I found it on Diablo wiki http://diablo.wikia.com/wiki/Baal and it is marked as Baals quote but I never heard it in game. And does anybody know how to interpret his words, the Worldstone was supposed to make him whole? And the part about being a sole ruler, I guess Prime Evils were somehow brothers but schemed for ultimate power over Hells, just like Diablo did in D3.
Edit: I would interpret it as he wanted to use the Worldstone to make himself fully manifested as a demon (somehow) and not merely himself possessing and warping Tal Rasha's body.
("The Prime Evils, weakened and bodiless, were banished to the mortal realm where Azmodan hoped that they would remain trapped forever."
"The power of the Soulstones proved to be much more difficult to employ when used against the great Prime Evils. Voraciously disposed to possessing hapless mortals, the Three Brothers found that they were immune to the effects of the Stones while occupying human souls. Sadly, we were forced to hunt down and kill the innocent victims of the Prime Evils so that their demonic essences could be subject to the effects of the Soulstones."
"The body of Albrecht, fully possessed by Diablo, began to distort and change. The small boy grew and his eyes blazed as tendril-like spines ripped through his flesh. Great, arched horns erupted from Albrecht’s skull as Diablo altered the form of the child to match that of his demonic body.")
Baal wanting to be the sole ruler is also not surprising, as all the Evils seem to want to be the 'big man on campus' (despite them coming from the heads of a hydra dragon thing where they would have had somewhat equal power, presumably) and like Tyrael says in the game:
Still, the day might have been lost had the demon lords not fallen to fighting amongst themselves. So confident of their impending victory, they turned on each other over the spoils they had yet to win.
I shudder to think what the demon lords might accomplish should they ever stop betraying one another. Such is the self-defeating nature of evil.
Always before, the Lords of Hell bickered and worked against each other. They undid themselves.
Baal's goal according to Tyrael was to manipulate the Worldstone to force mankind to his will.
Baal, the Lord of Destruction, sought to enslave mankind to the power of Hell by corrupting the sacred Worldstone. Unthinkable though it was, I was forced to destroy it. Player:
And much of the north with it. Tyrael:
Understand, friend, that entire worlds burned as Heaven and Hell fought over the Worldstone. Arreat's destruction was regrettable. And, believe me, I paid a high cost as well.
I think most of the 'how the Worldstone works' is in the book series, which I haven't gotten to yet, but it's possible Baal's true intent was to craft his own world where he was the ruler. (The map of Heaven in the CE artbook has a tower structure labelled 'portals to other realms.' There are multiple towers, too, but those may mean more like High Heavens/Hell/Trag'Oul 'realms' and not worlds like Sanctuary)
A possibly more likely solution was that according to D2 lore, breaking the soulstones would prevent the Evils from "manifesting in this world ever again." Since Baal would knew Diablo and Mephisto got smashed, he would have been the 'last man standing' on Sanctuary. (Apparently confident that the Angiris Council wouldn't care except for Tyrael, and that the remaining Lesser Evils would leave him alone, which it turns out was exactly what Azmodan desired at one point in the series' history:
Azmodan believed that with the Three set loose upon humanity, the Angels would be forced to turn their focus upon on the mortal plane - thus leaving the Gates of Heaven abandoned and defenseless.
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Non nobis, Domine, non nobis sed nomini tuo da gloriam.