You can have both to a degree. You can have enough AC to tank random trash mobs even from the early stages of the game without much investment, but if you want to tank enemies like Baphomet, you do need to make some sacrifices.
Not really, an angel gish can have over 90 ac, 5/6 attacks, 65+ ab (depending on buffs etc,), a swift action 300 dmg bolt of justice per turn, and each attack will deal something like 1d8+60 physical +22d6 divine +8d6 force. Cha is a god stat and can be 3x ac and your ab, and elemental barrage+crusaders edge gives an easy way for any build to deal a ton of damage. Sure you're not literally one shotting enemies like with Trickster but it's still enough to kill bosses in a few rounds. Even legend can do lots of damage now since it gets the super scaled mythic power attack and 8 attacks now, even better if you switch from trickster.