For those criticizing the Tattoine subplot -- while I hear your concerns, I think that by the completion of the first draft, that much was fate accompli (since Lucas, at the least, has already convinced himself that this is where Anakin is from... plus, a slave backstory just has too much potential to pass up in later drafts). The real big problems with how it turned out OTL, from what I see and am gathering here, are: (1) there doesn't seem to be a reason for them to go to Tattoine and run into Anakin, other than pure luck (or fate playing out as indistinguishable); and really more importantly (2) since Obi-one stays behind at the ship, it does more than anything else in the film to rob him of his position as lead, thus making the plot all the more incoherent.
Now (2) can actually be solved easily enough -- just have Qui Gon stay behind to defend the queen, while Kenobi is sent out to gather the needed ship parts. In fact, since the first draft has Amidale as somewhat of a racist (against Gungas), it wouldn't be much of a stretch to have her snobbishly insist that only the best Jedi stay to defend her. Just throw in a Kenobi eager to prove himself, throw in Padme being sent out to accompany, and (if he's in this version) Jar Jar going along (if he's a more badass version, it would be to get his chance at saving Obi-one's life) -- an voila, a three man band with narrative arc and potential for chemistry. (Oh, and when Maul attacks toward the departure, he attacks Obi-one first, who fares somewhat poorly until Qui gon jumps out of the ship and rescues him with kickass lightsaber fight.)
The reason for ending up on Tatooine in the first place, I'll admit, is trickier, but I don't think it can be avoided given the PoD. Hodgeman's idea of having Gungam's as sort of bloodhounds who can sense the force may solve this, but I think it would just create bigger problems of "Then why aren't all Gungam's essentially Jedi?" Maybe if one of their energy orbs somehow steered the ship toward Anakin -- really, I'm spitballing at this point...