I realize I'm late to this conversation, but I take a completely
different approach to the problem mentioned in OP's post.
Unfortunately, it's breaking an old paradigm to team editing of
documents, and it's tough to sell.
Everyone has programs they prefer. Maybe Word, maybe Pages, maybe
"with no glitches"
I think this can only be achieved if everyone can agree to only use a
specified file format (.doc, .docx, .rtf) and only [basic] features known
to work the same in both programs. Perhaps one of the many online [basic]
word processors would be a better fit this situation.
On
Since LibreOffice 5.0 can be opened page files
https://wiki.documentfoundation.org/ReleaseNotes/5.0#New_import_filters
but don't expect warranties about everything will be perfect.
Every time that a file is converted, increase the options for issues, as
LibreOffice is available for Mac, IMO