I'm a sucker for superheroes, I'm a sucker for "society that bans superheroes" and I'm especially a sucker for "superheroes that absolutely do not give a damn about the superhero ban". So, ultimately, yes. I like this a whole lot.
I'm seeing a few parallels to MASKS with the origin & drive beats, but handled completely differently in that each beat has its own unique effect on the character as opposed to granting the character the option to choose one of many advancement effects, and I wholly appreciate that each one has at least one "negative" outcome from a beat where its occurrence would be out of character - self-doubt, overconfidence, collateral damage.
When you tidy this up for a final version don't forget to clarify your tables' dice outcomes - you mention a D36 table but then both axes on it go up to 6 rather than one of them going up to 3, and similar formatting with your other tables. It might be better to just state D66 (especially since almost nobody has a d3, and a d2's just a coin flip which would make the axes even less readily parsed).
I'm very eager to see a final version of this one.