I disagree. Her designs on the rest of all opposition, to potentially lay waste to any civilization that wouldn't agree with her, was saving, maybe not the literal day, but the future, from excessive violence. This is, of course, resolved by the standard trope -- and moments away from assuming the seat of power in the region, making her formally "top boss." The ideology is present.
I hear you. I'm just offering alternatives. The Tyrion's face idea corresponds to the prophecy in the book, delivered by Maggie the Frog, which is part of the reason Cersei is terrified of the imp. She can't imagine Jaime hurting her. We never really got to see Dany rule for an extended period of time. The suggestion from those around her is that they admire her and believe she would be good. I just have to take that on good faith. The White Walkers winning seems like a thing Martin could do, although now, not so much. These little pet theories floated around ASOIAF a long time and had support.
Dany is a lot of things, but I thought the Mad Queen situation was pretty obvious. Not necessarily "crazy crazy" but mad in the sense she's willing to radically exert her will to protect her ideals, her family, and justice against those who wronged her. Written as someone willing to burn a city has to be a little batty, right? I'm less concerned about her tragic sense and more concerned about how the writers chose to give Jon a justification for killing her (a woman seeking the highest station, an agenda of freeing slaves, an army full of diversity, cured by best man, pound for pound, in Westeros). If anything, making her Greek or Shakespearean would be shoving a Western agenda on her in order to eliminate her character from winning.
Keep in mind, they made her the antagonist in the end. Could have been more interesting to have her come out of a litany of major wars cleanly.