There's no need to directly copy the format. One could have a processing step that refactors it to whatever one considers more reasonable.
btw, I'm not sure what's so unreasonable about the wiki-format.
I have no opinion on the format but the content is valuable so it would be worthy for seeding a free encyclopedia project.
If I would take on that task, I would transcode and maybe crop content in an automated fashion. Wikipedia is just such a big compendium of knowledge that starting from zero is a waste of time. Yes, bias is a big issue in WP but with many thousands of articles it is not an issue. Where would you start if you wanted to have https://en.wikipedia.org/wiki/Navier%E2%80%93Stokes_equations on wikifreedia, maybe even because you wanted to "remove bias"? Maybe wikifreedia could have an "import wikipedia" as an option cause seriously, starting from zero makes no sense at all.
Discussion
You are welcome to try and would be very pleased if you succeeded.
