Not without enabling the ingame GUI again. As far as I know there is no way to disable the GUI and still be in control of the camera. Well, except for writing your own camera scripts into the mission file, of course.
I've attached a .zip file containing a new mission type which uses the cinema mode's AI while enabling the GUI and camera controls. Just extract the compressed files to your Nexus directory in
<path-to-nexus-folder>\mods\NEXUS Skirmisher\_templates
Then select "ai_mode" as mission type when creating your skirmish mission. Also make sure to not use "race_player" as one of the fleet races to make it a true AI-vs-AI battle.