First of all, you don't need to "LIST" then * then "/LIST" for each bullet point, you can just go "LIST, *, *, *, /LIST" for your HTML bullet points. Less work required. As for your points:
1.) Gauge management - hell yes, absolutely. Every bit of yes on this one, especially Onslaught.
2.) Eeeeeh... I mean yeah but I suppose it has its benefits such as the freedom to use your Fell Cleaves at will and not accidentally killing off your Inner Chaos in it.
3.) Personally I'd prefer a wholly different system to Storm's Eye damage buff, mainly in form of dual gauges (so Path generates more of Gauge A and Eye more of Gauge B and both gauges interplay) but honestly... a bit late for this one.
4.) Performance based healing I'd be ok with that or at least a nerf to AOE healing (making AOE skills only trigger for 150-200 pot a la Bunshin). But going back to having to choose between mitigation and healing? You know as much as I do that any normal Warrior player WILL pick the healing over what is basically "short rampart" 99/100 cases. The whole point of the EW change was to be able to use mitigation and not having to sacrifice the healing while still making Nascent Flash superior in double target scenarios. I see no point to this change other than deliberate regression for the sake of it.
5.) Disagree, if we truly think Shake's healing (and also Divine Veil's) is an issue I'd say do something to make Dark Missionary / Heart of Light not be as situational.
6.) Reintroducing original Inner Beast that shares a resource with Fell Cleave is a terrible idea. Inner Beast with mitigation in a vacuum is cool, not when sharing resources. A double gauge system like mentioned in point #3 would remedy this so you could build both, but otherwise no. I genuinely don't want that back unless it has virtually the same potency as Fell Cleave.
There are many ways to get away from the 2min meta - appealing to past designs by picking the worst parts of them isn't one of them.