Inhuman Strength might be 7 stunts for the price of 2, but it fits in harmoniously with the rest of the game. Its existence doesn't mess with the assumptions that other abilities rely on, and it doesn't make many Stunts obsolete.
Also, the discount is for being a Power and taking away the Pure Mortal bonus. Linking something to your High Concept is free, it shouldn't be considered a cost.
I'm still not seeing how this power is any less harmonious than Inhuman Strength - it works differently sure, but Inhuman Strength also makes potential stunts and/or skills obsolete by its very nature. The stunts in the rules are only suggestions, they are not the be-all and end-all of the game. That's why there is guidance on how to create new stunts (and powers). The existing powers are quite capable of making stunts obsolete.
For example, want to be a grappler? Which is better, taking Inhuman Strength and its bonus around grapples or a couple of grapple related stunts that try and do the same thing? Obviously it is Inhuman Strength - it gives you way more bang for your buck.
Who is better at breaking things? The character with Might +3, or the character with Inhuman Strength? Mechanically, they are the same, except the power cost Refresh and the skill didn't. Oh, and the power gives a bunch of other benefits...
Inhuman (and Supernatural etc.) Strength is a way of getting a high "Might" score without increasing the Might skill. Inhuma Speed gives you a similar bonus to Athletics - it makes you better in some situations without having to put the points into Athletics.
What I am suggesting is a way of getting an effectively high skill, without the skill points. It is just "generic" rather than linked to a set use of a skill.
Which brings me to the bit that you appear to be missing about the link to High Concept - I am not saying it is a "cost" in a mechanical sense. I am saying it is a pre-requisite to take the Power. By making it link to High Concept the Extraordinary skill has to be a core component of your character concept. It is not a power that people will just pick up "because" it is cool, particularly if the refresh cost is costed correctly.
Yes. But even Extraordinary Great is better on average than Epic. Epic is the highest skill any canon NPC has, and it's unlikely that anyone will take a tier upgrade for a skill below Great. So...yeah.
Two things on this:
Firstly, the fact that this Power makes someone the equal of someone with an Epic skill is the point of the Power; the Power is for those that are supernaturally "better". They are different ways of reaching the same point (and the Power is less certain). One is through hard work and discipline (i.e. raising the skill to Epic), the other is through supernatural ability (the Power). Characters with the Power (which is linked to their High Concept) are meant to be supernaturally talented "the best" at what they do. Their innate ability is such that they are the equal of characters that have spent years/decades/centuries mastering their abilities.
Secondly, the canon NPC descriptions are, as described in OW, based solely on what had been revealed in the novels up until that point - in fact in a number of places it notes that the descriptions are likely serious underestimations of the character's power. Given that, assuming that the Epic is "the highest skill" is probably underselling those characters. It is simply that those characters are incompletely described. Given that, whether Epic is "the highest skill" is very dependent on the game.
Sounds about right, but you'll still need to fiddle with other areas of the rules to make this work.
Such as? What needs to be fiddled with?