I really like your ideas and concepts. Unfortunately, I just don’t think the AOTC footage will ever have enough to work with. By starting with Geonosis there are a lot of things that don’t line up.

I like the transitions in the arena fight that cut out Yoda and the clones, but they’re too jarring. They don’t fit with the idea that the Republic doesn’t have an army, unless those are supposed to be Jedi landing craft. Having Anakin, Obi-Wan, and Padme about to be publicly executed by monsters, with a massive Jedi rescue operation and direct combat between the Jedi and Separatist droid armies, means that there is absolutely no reason for Padme or whoever else to argue against war. War already started. They would know for certainty with no ambiguity that it’s Dooku trying to kill Padme because Obi-Wan has literally already overheard Dooku promising to kill her to Nute Gunray.
It’s also really jarring to go through that entire Geonosis sequence and then have no recovery or debriefing afterward. No one talks about what they just went through or the consequences. It’s like it never happened. You can compare it to the opening sequence of ROTS and the stuff on Coruscant immediately afterward.

The main advantage of staring with Anakin and Padme already together is to cut out some of the worst parts of AOTC, their romance scenes and the forbidden love subplot. I thought that was where it was going at the beginning and I would have liked Padme to just say “I love you” and leave it at that. It’s confusing to start there and then have them go through the “dating” process out of order.