In your case you should use other types of software, not a consumer desktop timeline software…
You should look at solutions like Arches, Heurists, ResearchSpace etc.
https://www.archesproject.org/
or even Omeka with the timeline addon http://www.neatline.org/
Most of them will easily be able to import the json file from Aeon, and it should also be possible to import the csv file with little effort…
Just as a tips