Great post and summary. To answer as best I can (I wrote a big thing that goes into more detail I'll get after its edited to be more well-written);
1) Eventually, yes.
2) We will adjust those to new mechanics or wrap them up into similarly-powered stats. Jax utilizes it for gameplay decisions, while on Udyr it's more about the damage reduction and power of it than a gameplay decision. Case-by-case approach.
3) Since this has been the plan, removing dodge (and therefore Nimbleness) is a piece of 1). Nimbleness was a cool mastery - if dodge was staying, we'd have left it.
4) We will be doing something to make this right for players. Details to come, but our plan is specifically about making you guys happy in this regard.
Thank you. On behalf of all Jax players (I main Jax, and I have spoken to Dyrus and Big McLarge Huge as well), I do hope and trust that you will do a rework that will not bring down Jax. An "E" abaility without dodge but with following necessarily included:
1) A magic damage
3) Not long a cooldown
This will be the last and the only wish of all Jax players. And I concede, Jax is more than half of the reason I play this game - not because I win a lot with him (in fact, I lost more playing Jax) but because of the sheer fun he offers to us.
Anyway, thank you, Morello. A player-focused community. You've kept the word.