If Dany takes the throne, everyone. Targaryans will be the ruling family and Jon will have a stronger claim than her. She might not care if she "breaks the wheel" or whatever, but under the current hierarchy Jon has a stronger claim than Dany as a trueborn son of Rhaegar.

Yes. She fancied herself a better person in earlier seasons, i.e. the white hat wearing Olivia Pope. However, she was always in it for herself. It's always been about status, image and power for Olivia.