Maybe I'm dumb and I'm not undersanding things so far but I think the main problem here is that they want Anís to be King, like, right now? Like, next week she needs to sit on the throne and be pregnant from some random noble? She's like 17, if I remember correctly, why the F are they in such a hurry? Her father seems fine and can rule for at least another 10 years and leave her rule when she's 25 or so, and all the usseless characters have more than enought time to work a solution until then. I think someone said women in this world should have a baby when they're young because they're healthy and fertile but Anís being a Traveler from this world should know you can have a baby at 30 no problem-
I don't know, if anythint I think they can solve most of their problems if they got rid of some nobles, you don't need to kill all of them. Hell, you don't even need to kill them, just send them to prison for threatening the Crown or send them to another country and the rest will surely behave. I mean, they already killed a lot of them in the last revolution and they just cut the head of the current minister of magic and send to prison all those supporting Algard's plan, how many can be left?
PD, sorry for my english if there's mistakes-