Honestly your best bet probably is to use Latex instead of word when possible and use Overleaf with vim bindings (however, these bindings aren't the best in the world). Of course, if you're working with others using Latex is probably a deal breaker.
I am, and it is, everybody else uses GDocs and I hoped to be able to use Vim on all the shared files somehow
Yeah, unfortunately vim is really for text editing, so if you're not doing that (writing a Google Doc is not text editing), you aren't going to see vim bindings/extensions supported/available in those cases.
The best you can hope for is to do something like here (not sure if it still works), but then you defeat the point of using Google Docs.
I will generally write my text in VIM and then copy and paste it into google docs and format it once the substantive work is done. Not great, but it works for me.
VIM - Vi Improved, text editor community
Please use English.