Hello there, may I start off by welcoming you to the Mana Drain. I'm glad to see you're thinking about the deck, however, with any testing data your idea has little value to it. Never-the-less I'll put forth an argument about why it shouldn't be inclused in the deck, despite the initial synergy Predict has at a first glance.
Predict


Instant
Name a card, then put the top card of target player's library into his or her graveyard. If that card is the named card, you draw two cards. Otherwise, you draw a card.
Predict is an interesting choice, especially using Psychatogs. It does work well with Top in play, and can be fairly useful with a Sight in play as well (as you get to see 3 cards, as if it was an AK for 2).
I understand why you added Memory Lapse to the deck, however, I don't think that's the best of ideas, showing why AK's are a bit more ideal for the deck on the whole than Predict is. If you read the
Primer I wrote for SCG then you'd see why this is a bad choice. This is the reason why....
Remember, you're a combo deck before you're a control deck. Your counters are to get your spells to resolve, not so much to stop your opponents spells. Having too much of a control element takes away from the power of the deck.
I have a hard time finding the justification of Intuition in your deck. Though it's usually to get Forces, Deeps or a missing combo piece, it's not too bad at getting AK's (which is just insane under a single Helm). I'm sure this isn't something you'd do with Predicts. They way you've said you use Intuition is to get out 2 Wishes. That cuts down on Wishes if you need to get get something for removal, as well as comboing off if they answer your Psychatog.
There are two other points I'd like to make. The first being that many my friends and I have had many different kinds of transformal sideboards at multiple events with different colors splashed. It turned out that the transformal sideboard (while strong in theory) proved to be nigh useless in real life. I have only seen 3 or 4 games where the Sensei player has used an alternate win condition they sideboarded in, to go the distance when it was impossible to combo off in time. Every other time they would just have to combo off.
The second is the point about splashing red over green. If you're going to use the red splash, you must be sure to include Pyroblasts. There's more details in the Primer about why you should, and also about the Green splash (I've found Dryads to be a smoother transition than Psychatog). Also, note that Naturalize and Oxidize answer all those cards you've mentioned that you want Rack and Ruin for (as well as Pernicious Deed).