It’s a good idea. Maybe you can change the hologram aspect to something more easier to do, in terms of editing. You can make Anakin yelling in the scene, and change the scene to Palpatine’s office but making Anakin dialogue continue through radio transmission, and switching continuously from one scene to another, mainly to hide Padmé’s presence. This way, maybe you could imply that Anakin is talking to Palpatine.

The problem with this idea I proposed is that Anakin looks directly to Padmé when he talks, so it would be strange to have Anakin clearly looking to something during the scene, but with no one in the room while he speak through radio transmission 😄. But it might work, I don’t know.