1: So "productive" in your eyes is genocide, fall of kingdoms and etc... Good to know. This is the military aspect that I hate and you bring into every post. Productive would be stopping wars without bloodshed or too few spilled blood. Repeat all the times you want, it doesn't matter.
2: Entire region of Essos against her? Did you miss the first episodes of this season? The whole Essos is fascinated by her, even a priest of red religion was inviting people to follow her.
3: She has saved ten thousand men with mutilated organ. I'm sorry you don't see this as "productive". Now they die protecting their queen, instead of dying like rabid dogs without penis.
4: Stannis was outsmarted by a Targaryen woman before, Daenerus mother which resulted in her children's escape. He will be outsmarted by a Targaryen woman again, bookmark me. I will quote this when it happens.
1: Well, if that was actually his definition of productive then Daenerys would definitely be on that. She's committed genocide on the nobles of Meeren, she lead to numerous violent uprisings in Astapor after she "freed" it while also causing a plague which would later spread to Meeren, and she's indirectly killed the slaves of Meeren by freeing them since it actually makes it harder for them to get food and money.
2: In the books all of Essos marches forth to kill Daenerys. They amass an army from every major city and almost all of the mercenary companies in the region just to kill her.
3: She BOUGHT thousands of men with mutilated genitals. She did not "save" them, and that's further emphasized by them being massacred by the Sons of the Harpy.
4: No.
What?
Was he even sane enough to make such decision?
This is just an opinion on my part, since the "Targaryen madness" hasn't effected any of the female members. Not counting Viserying who could be just damaged due to their very hard life, there are 4 known mad Targaryens, all of which are male. And in case of Rhaella she pretty much hid Aerys's madness from the eyes of public as long as she could, in hopes of his death before a disaster. She seems quite capable to me.
When you're being ruled by a man who suffers from paranoid delusions who tends to execute people on a whim, it doesn't matter if he's sane. If said ruler tells you to do something, you're going to do it, and if you don't you get executed. Of course, you still have the same risk of being executed regardless of whether or not you do the task, but you'd be safer off by doing it. When idealism is punishable by death, you don't run into many idealists.
I also did not know that "madness" was a male only sex linked trait.
On another note, when your husband starts randomly executing people for looking at him funny it's kind of hard to hide his madness.
Joffrey had to go, wars weren't started to do it. It was subtle, executed perfectly without a single innocent dying. I suppose it says a lot about who is "failing". All Stannis has done is following his brother, who in the end led the all the nations to war. He could have hired assassins to kill the mad king. He wanted the throne, every Targaryen dead and his lover avenged. He didn't care how many had to die, because it was "honor". Shove this honor were it belongs.The intentions here were not noble, not even close. Keep your delusions about "nobility" of Baratheons.
And getting extinct on 3rd generation with the last one committing kinslaying two times thus far, The Baratheon dynasty will go down so fast, the word "fail" will not be enough to describe it.
People hated Robert for rebelling, but they got used to it. People hate change, that's what happening on Essos. Dany is playing nice with them, but its conditioning her into her new personality. Plus we don't know what's going to happen to her. Drogon has taken her (rumored since episode one) to a Valyrian ruin to discover her legacy. I think the discussion on what Dany will do will have to be put on a pause, Stannis has got more screen time and delving into story than Dany recently. I mean obviously, even if it wasn't the case, he had like 20 more years to act.
So enjoy your GoT Anders, I think he is in his act 3 period now.
Did you miss the entirety of Season 2? Rob Stark went to war with the Lannister's in order to depose Joffery. in fact, it started the exact same way that Robert's rebellion happened, some Stark's were executed by the king... 
And no, they could not have hired assassins to kill Aerys the mad. It's kind of hard to assassinate someone that is paranoid of his own shadow.