Sorry, I knew that I wasn't being clear when I said that, but I didn't correct it, for some reason...
I know how this combo works. I've seen it in action. I've played against it too. I just see it as a bit of a waste. I don't see any way to make it a truly effective combo. I guess that I just can't take Leveler seriously, for some reason...
So I guess that would make it a waste of Shared Fate? Not sure really...
Anyway, to be more serious, do tell me if you actually do well with this. I don't mind being proven wrong. But I still find Leveler to be a bit of a joke...
Is the Enlightened Tutor count so low because this is a Type I deck? If not, I would definitely boost that, as it obviously fetches Shared Fate or Leveler...
Since both cards cost so much, you're going to want some cool mana acceleration, or something to slow the game down heavily. I don't know your strategy here, but I'd bet that things like Mana Vault, Grim Monolith, Sol Ring, Mana Crypt (if you can get that one), Thran Dynamo, City of Traitors, Ancient Tomb, Saprazzan Skerry, etc. would be good to have.
And then of course there's countermagic. You already have Stifle, which I suppose could support either of your combo pieces as well as supporting or negating several cards. Predictably Force of Will works nicely here too. You might as well throw in Counterspell too. Other possible candidates include Arcane Denial, Foil, Force Spike, Mana Leak, Mana Drain (I wish), and the other usuals. I personally tend to use Boomerang as well in many decks, in order to remove cards I was unable to counter, but that depends on your preference. Memory Lapse might be fun, if you want to steal a spell from them, so to speak, but that might not be a practical choice. The goals of countermagic will primarily be to thwart opposing strategies in order to achieve the combo, then to protect Shared Fate. If we can squeeze in enough cheap countermagic that we can also abrogate opposing counterspells, that's cool too...
Card drawing will obviously be important in a blue-heavy build. I'd say that for this deck it should be applied liberally. You don't care about the effect on your deck, because if your combo goes off, you won't have a library anyway, so the amount of it that goes to the graveyard or is removed from the game matters not. Stuff that can target other players is cool too, because that allows you to increase the potency of Shared Fate...
But there's no need for overkill. Anyway, what colors are going with, because you haven't made that clear yet. You seem to want to include some white, so I'm already considering how cool Abeyance would be. But the color scheme has important effects on the composition of card-drawing and countermagic in the deck...