Anakin doesn't fall to the darkside for a few reasons.
I don't blame the Jedi for his fall, but they weren't what he needed. In fact, I think a sane Anakin and Qui-Gon would've changed the Jedi Order for the better.
Another reason Anakin doesn't fall is because I'm convinced that Qui-Gon would've gone back for Schmi, take away her horrific death alone = Anakin doesn't become a psychopath.
Dooku doesn't fall either, 100%.
I think Qui-Gon would've immediately seen through Palpatine's bullshyt, and Anakin receiving the extra care that he needed, and I do believe QGJ would be firm with him, wouldn't be so susceptible. I think Palpatine would constantly be trying to murk Anakin, rather than turn him.
The Clone Wars might not happen. Sifo-Dyas wouldn't have been linked to Palpatine without Dooku, he might still have confided in Dooku who in turn, with Qui-Gon alive, might not have turned on the Jedi/Republic.
I see Palpatine resorting to dictatorship but failing without a war to fall back on, and resorting to oldschool Sith shyt and all out war.
With a Jedi Order not decimated by war, and the chosen one in a healthy state of mind - Palpatine gets killed by Anakin. This leads Anakin, and QGJ, to revolutionize the Jedi Order.
I don't think Anakin ends up with Padme, with his mother freed he wouldn't have to obsess about her so much.
That fight was the duel of the fates, and Maul killing QGJ led to our timeline, the Jedi both surviving would've been the best timeline. Obi-Wan was the perfect bridge between QGJ and the Jedi Order, I can imagine QGJ's way of teaching Anakin could lead to friction with the Order, without Obi-Wan; but Maul exposing the Sith would still see the Order letting him get away with it (even without Obi).
George Lucas