First, I think it's important to have Padme and Anakin together in a couple of scenes, and I've already removed two.
Second, in my edit Anakin doesn't go to Palpatine to rant. I cut from Anakin promising Padme he won't lose her to Anakin hinting to Palpatine that he might abandon the Jedi if Palpatine tells him how to save Padme: "More and more I get the feeling I'm being excluded from the council... I know there are things about the force that they're not telling me." I've also tried to emphasize the Anakin/Palpatine friendship in their earlier scenes.
Oh, I've also figured out a clever transition between the two scenes, with a shot of just Anakin in Palpatine's office splitting a shot of Anakin and Padme. Yep, it's supposed to be symbolic.