Current display
Currently, the styleguide largely uses the default vue-styleguidist look and feel. It shows examples of the lux components and design tokens, and uses a few specific colors from lux, but it does not really have a "Lux look", and some of the UI elements behave differently than the Lux versions.
Desired display
The various parts of the styleguide UI generally work look and behave like Lux elements.
Notes
This may require knowledge of both Vue and React! Here is the documentation for changing the vue-styleguidist output.